13131125105 has 24 divisors (see below), whose sum is σ = 18360090792. Its totient is φ = 8989408512.

The previous prime is 13131125083. The next prime is 13131125123. The reversal of 13131125105 is 50152113131.

It can be written as a sum of positive squares in 4 ways, for example, as 193655056 + 12937470049 = 13916^2 + 113743^2 .

It is not a de Polignac number, because 13131125105 - 2⁸ = 13131124849 is a prime.

It is a super-2 number, since 2×13131125105² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106469 + ... + 193901.

It is an arithmetic number, because the mean of its divisors is an integer number (765003783).

Almost surely, 2^13131125105 is an apocalyptic number.

It is an amenable number.

13131125105 is a deficient number, since it is larger than the sum of its proper divisors (5228965687).

13131125105 is an equidigital number, since it uses as much as digits as its factorization.

13131125105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88065 (or 88058 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 23.

Adding to 13131125105 its reverse (50152113131), we get a palindrome (63283238236).

The spelling of 13131125105 in words is "thirteen billion, one hundred thirty-one million, one hundred twenty-five thousand, one hundred five".