2031012511013 has 2 divisors, whose sum is σ = 2031012511014. Its totient is φ = 2031012511012.

The previous prime is 2031012510953. The next prime is 2031012511039. The reversal of 2031012511013 is 3101152101302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1903511383684 + 127501127329 = 1379678^2 + 357073^2 .

It is a cyclic number.

It is not a de Polignac number, because 2031012511013 - 2⁶ = 2031012510949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2031012511513) 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, 1015506255506 + 1015506255507.

It is an arithmetic number, because the mean of its divisors is an integer number (1015506255507).

Almost surely, 2^{2031012511013} is an apocalyptic number.

It is an amenable number.

2031012511013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2031012511013 is an equidigital number, since it uses as much as digits as its factorization.

2031012511013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 2031012511013 its reverse (3101152101302), we get a palindrome (5132164612315).

The spelling of 2031012511013 in words is "two trillion, thirty-one billion, twelve million, five hundred eleven thousand, thirteen".