2131031010013 has 2 divisors, whose sum is σ = 2131031010014. Its totient is φ = 2131031010012.

The previous prime is 2131031009959. The next prime is 2131031010061. The reversal of 2131031010013 is 3100101301312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1782857846169 + 348173163844 = 1335237^2 + 590062^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2131031010013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131031010413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065515505006 + 1065515505007.

It is an arithmetic number, because the mean of its divisors is an integer number (1065515505007).

Almost surely, 2^{2131031010013} is an apocalyptic number.

It is an amenable number.

2131031010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131031010013 is an equidigital number, since it uses as much as digits as its factorization.

2131031010013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 2131031010013 its reverse (3100101301312), we get a palindrome (5231132311325).

The spelling of 2131031010013 in words is "two trillion, one hundred thirty-one billion, thirty-one million, ten thousand, thirteen".