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1313137337331 = 32997556927941
BaseRepresentation
bin10011000110111101000…
…101011010001111110011
311122112102210120100002110
4103012331011122033303
5133003301124243311
62443125202220403
7163604524126401
oct23067505321763
94575383510073
101313137337331
11466997880176
121925b3054703
1396a9ca83521
14477b0264471
15242574548a6
hex131bd15a3f3

1313137337331 has 32 divisors (see below), whose sum is σ = 1830290414400. Its totient is φ = 836343889920.

The previous prime is 1313137337329. The next prime is 1313137337411. The reversal of 1313137337331 is 1337337313131.

1313137337331 is a nontrivial binomial coefficient, being equal to C(1620579, 2).

It is not a de Polignac number, because 1313137337331 - 21 = 1313137337329 is a prime.

It is a super-2 number, since 2×13131373373312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1313137337331.

It is not an unprimeable number, because it can be changed into a prime (1313137337131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46982821 + ... + 47010761.

It is an arithmetic number, because the mean of its divisors is an integer number (57196575450).

Almost surely, 21313137337331 is an apocalyptic number.

1313137337331 is the 1620578-th triangular number.

1313137337331 is a deficient number, since it is larger than the sum of its proper divisors (517153077069).

1313137337331 is a wasteful number, since it uses less digits than its factorization.

1313137337331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33639.

The product of its digits is 107163, while the sum is 39.

The spelling of 1313137337331 in words is "one trillion, three hundred thirteen billion, one hundred thirty-seven million, three hundred thirty-seven thousand, three hundred thirty-one".

Divisors: 1 3 29 87 97 291 2813 5569 8439 16707 27941 83823 161501 484503 540193 810289 1620579 2430867 2710277 8130831 15665597 46996791 78598033 155603429 235794099 466810287 4512499441 13537498323 15093532613 45280597839 437712445777 1313137337331