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1312334332131 = 3377921894381
BaseRepresentation
bin10011000110001101001…
…110001100000011100011
311122110100211120110001010
4103012031032030003203
5133000130042112011
62442513355112003
7163545603525354
oct23061516140343
94573324513033
101312334332131
11466615577509
1219240a142603
13969a25ba814
1447735755d2b
152420bbd71a6
hex1318d38c0e3

1312334332131 has 24 divisors (see below), whose sum is σ = 1820107070544. Its totient is φ = 840468208320.

The previous prime is 1312334332123. The next prime is 1312334332157.

It is a happy number.

1312334332131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1312334332131 - 23 = 1312334332123 is a prime.

It is a super-2 number, since 2×13123343321312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312334332181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254440 + ... + 1639941.

It is an arithmetic number, because the mean of its divisors is an integer number (75837794606).

Almost surely, 21312334332131 is an apocalyptic number.

1312334332131 is a deficient number, since it is larger than the sum of its proper divisors (507772738413).

1312334332131 is an equidigital number, since it uses as much as digits as its factorization.

1312334332131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894579 (or 1894500 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The spelling of 1312334332131 in words is "one trillion, three hundred twelve billion, three hundred thirty-four million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 37 79 111 237 2923 6241 8769 18723 230917 692751 1894381 5683143 70092097 149656099 210276291 448968297 5537275663 11822831821 16611826989 35468495463 437444777377 1312334332131