10513131381325 has 6 divisors (see below), whose sum is σ = 13036282912874. Its totient is φ = 8410505105040.

The previous prime is 10513131381283. The next prime is 10513131381383. The reversal of 10513131381325 is 52318313131501.

It can be written as a sum of positive squares in 3 ways, for example, as 2336293908036 + 8176837473289 = 1528494^2 + 2859517^2 .

It is not a de Polignac number, because 10513131381325 - 2¹¹ = 10513131379277 is a prime.

It is a super-2 number, since 2×10513131381325² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 210262627602 + ... + 210262627651.

Almost surely, 2^{10513131381325} is an apocalyptic number.

It is an amenable number.

10513131381325 is a deficient number, since it is larger than the sum of its proper divisors (2523151531549).

10513131381325 is an equidigital number, since it uses as much as digits as its factorization.

10513131381325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420525255263 (or 420525255258 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 10513131381325 in words is "ten trillion, five hundred thirteen billion, one hundred thirty-one million, three hundred eighty-one thousand, three hundred twenty-five".