10111130131013 has 2 divisors, whose sum is σ = 10111130131014. Its totient is φ = 10111130131012.

The previous prime is 10111130130961. The next prime is 10111130131027. The reversal of 10111130131013 is 31013103111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9105776986084 + 1005353144929 = 3017578^2 + 1002673^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111130131013 - 2²⁰ = 10111129082437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111130130982 and 10111130131000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111130131043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055565065506 + 5055565065507.

It is an arithmetic number, because the mean of its divisors is an integer number (5055565065507).

Almost surely, 2^{10111130131013} is an apocalyptic number.

It is an amenable number.

10111130131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111130131013 is an equidigital number, since it uses as much as digits as its factorization.

10111130131013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 10111130131013 its reverse (31013103111101), we get a palindrome (41124233242114).

The spelling of 10111130131013 in words is "ten trillion, one hundred eleven billion, one hundred thirty million, one hundred thirty-one thousand, thirteen".