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1331321310132 = 22311277287912647
BaseRepresentation
bin10011010111111000111…
…011110000101110110100
311201021101001220212100120
4103113320323300232310
5133303021223411012
62455333420011540
7165120245264352
oct23277073605664
94637331825316
101331321310132
11473679199070
12196028990bb0
139870a149048
14486172a07d2
152496da4d58c
hex135f8ef0bb4

1331321310132 has 96 divisors (see below), whose sum is σ = 3402502225920. Its totient is φ = 401802875520.

The previous prime is 1331321310113. The next prime is 1331321310149. The reversal of 1331321310132 is 2310131231331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105261433 + ... + 105274079.

It is an arithmetic number, because the mean of its divisors is an integer number (35442731520).

Almost surely, 21331321310132 is an apocalyptic number.

1331321310132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331321310132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701251112960).

1331321310132 is an abundant number, since it is smaller than the sum of its proper divisors (2071180915788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331321310132 is a wasteful number, since it uses less digits than its factorization.

1331321310132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15821 (or 15819 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1331321310132 its reverse (2310131231331), we get a palindrome (3641452541463).

The spelling of 1331321310132 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-one million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 277 554 831 1108 1662 2879 3047 3324 5758 6094 8637 9141 11516 12188 12647 17274 18282 25294 31669 34548 36564 37941 50588 63338 75882 95007 126676 139117 151764 190014 278234 380028 417351 556468 797483 834702 1594966 1669404 2392449 3189932 3503219 4784898 7006438 8772313 9569796 10509657 14012876 17544626 21019314 26316939 35089252 36410713 38535409 42038628 52633878 72821426 77070818 105267756 109232139 115606227 145642852 154141636 218464278 231212454 400517843 436928556 462424908 801035686 1201553529 1602071372 2403107058 4806214116 10085767501 20171535002 30257302503 40343070004 60514605006 110943442511 121029210012 221886885022 332830327533 443773770044 665660655066 1331321310132