10129557313 has 2 divisors, whose sum is σ = 10129557314. Its totient is φ = 10129557312.

The previous prime is 10129557299. The next prime is 10129557331. The reversal of 10129557313 is 31375592101.

Together with next prime (10129557331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9915578929 + 213978384 = 99577^2 + 14628^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10129557313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10139557313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5064778656 + 5064778657.

It is an arithmetic number, because the mean of its divisors is an integer number (5064778657).

Almost surely, 2^10129557313 is an apocalyptic number.

It is an amenable number.

10129557313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10129557313 is an equidigital number, since it uses as much as digits as its factorization.

10129557313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28350, while the sum is 37.

The spelling of 10129557313 in words is "ten billion, one hundred twenty-nine million, five hundred fifty-seven thousand, three hundred thirteen".