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1313013211332 = 2232513371293553
BaseRepresentation
bin10011000110110101101…
…011111010000011000100
311122112010011000002020020
4103012311223322003010
5133003022340230312
62443105005535140
7163601456102124
oct23066553720304
94575104002206
101313013211332
114669338004a9
121925795744b0
1396a801435a4
144779b992c84
152424b5d678c
hex131b5afa0c4

1313013211332 has 48 divisors (see below), whose sum is σ = 3085033154112. Its totient is φ = 434633472000.

The previous prime is 1313013211309. The next prime is 1313013211339. The reversal of 1313013211332 is 2331123103131.

It is not an unprimeable number, because it can be changed into a prime (1313013211339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368268 + ... + 1661820.

It is an arithmetic number, because the mean of its divisors is an integer number (64271524044).

Almost surely, 21313013211332 is an apocalyptic number.

1313013211332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313013211332 is an abundant number, since it is smaller than the sum of its proper divisors (1772019942780).

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

1313013211332 is a wasteful number, since it uses less digits than its factorization.

1313013211332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294148 (or 1294146 counting only the distinct ones).

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

Adding to 1313013211332 its reverse (2331123103131), we get a palindrome (3644136314463).

The spelling of 1313013211332 in words is "one trillion, three hundred thirteen billion, thirteen million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 251 337 502 674 753 1004 1011 1348 1506 2022 3012 4044 84587 169174 253761 338348 507522 1015044 1293553 2587106 3880659 5174212 7761318 15522636 324681803 435927361 649363606 871854722 974045409 1298727212 1307782083 1743709444 1948090818 2615564166 3896181636 5231128332 109417767611 218835535222 328253302833 437671070444 656506605666 1313013211332