10131251013 has 48 divisors (see below), whose sum is σ = 16493917440. Its totient is φ = 6177207744.

The previous prime is 10131250999. The next prime is 10131251047. The reversal of 10131251013 is 31015213101.

10131251013 is a `hidden beast` number, since 10 + 131 + 2 + 510 + 13 = 666.

It is not a de Polignac number, because 10131251013 - 2¹⁴ = 10131234629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131252013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329620 + ... + 359042.

It is an arithmetic number, because the mean of its divisors is an integer number (343623280).

Almost surely, 2^10131251013 is an apocalyptic number.

10131251013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10131251013 is a deficient number, since it is larger than the sum of its proper divisors (6362666427).

10131251013 is a wasteful number, since it uses less digits than its factorization.

10131251013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29560 (or 29548 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 10131251013 its reverse (31015213101), we get a palindrome (41146464114).

The spelling of 10131251013 in words is "ten billion, one hundred thirty-one million, two hundred fifty-one thousand, thirteen".