10131020031113 has 2 divisors, whose sum is σ = 10131020031114. Its totient is φ = 10131020031112.

The previous prime is 10131020031059. The next prime is 10131020031157. The reversal of 10131020031113 is 31113002013101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6452859901504 + 3678160129609 = 2540248^2 + 1917853^2 .

It is an emirp because it is prime and its reverse (31113002013101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10131020031113 - 2²⁰ = 10131018982537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10131020031091 and 10131020031100.

It is not a weakly prime, because it can be changed into another prime (10131020036113) by changing a digit.

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 as a sum of consecutive naturals, namely, 5065510015556 + 5065510015557.

It is an arithmetic number, because the mean of its divisors is an integer number (5065510015557).

Almost surely, 2^{10131020031113} is an apocalyptic number.

It is an amenable number.

10131020031113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131020031113 is an equidigital number, since it uses as much as digits as its factorization.

10131020031113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10131020031113 its reverse (31113002013101), we get a palindrome (41244022044214).

The spelling of 10131020031113 in words is "ten trillion, one hundred thirty-one billion, twenty million, thirty-one thousand, one hundred thirteen".