10131013129 has 2 divisors, whose sum is σ = 10131013130. Its totient is φ = 10131013128.

The previous prime is 10131013049. The next prime is 10131013141. The reversal of 10131013129 is 92131013101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6196838400 + 3934174729 = 78720^2 + 62723^2 .

It is an emirp because it is prime and its reverse (92131013101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10131013129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10131017129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065506564 + 5065506565.

It is an arithmetic number, because the mean of its divisors is an integer number (5065506565).

Almost surely, 2^10131013129 is an apocalyptic number.

It is an amenable number.

10131013129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131013129 is an equidigital number, since it uses as much as digits as its factorization.

10131013129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 22.

The spelling of 10131013129 in words is "ten billion, one hundred thirty-one million, thirteen thousand, one hundred twenty-nine".