2031133101013 has 2 divisors, whose sum is σ = 2031133101014. Its totient is φ = 2031133101012.

The previous prime is 2031133100993. The next prime is 2031133101077. The reversal of 2031133101013 is 3101013311302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1864650332484 + 166482768529 = 1365522^2 + 408023^2 .

It is a cyclic number.

It is not a de Polignac number, because 2031133101013 - 2³³ = 2022543166421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2031163101013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1015566550506 + 1015566550507.

It is an arithmetic number, because the mean of its divisors is an integer number (1015566550507).

Almost surely, 2^{2031133101013} is an apocalyptic number.

It is an amenable number.

2031133101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2031133101013 is an equidigital number, since it uses as much as digits as its factorization.

2031133101013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 2031133101013 its reverse (3101013311302), we get a palindrome (5132146412315).

The spelling of 2031133101013 in words is "two trillion, thirty-one billion, one hundred thirty-three million, one hundred one thousand, thirteen".