2031313004129 has 2 divisors, whose sum is σ = 2031313004130. Its totient is φ = 2031313004128.

The previous prime is 2031313004111. The next prime is 2031313004143. The reversal of 2031313004129 is 9214003131302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2029989499729 + 1323504400 = 1424777^2 + 36380^2 .

It is a cyclic number.

It is not a de Polignac number, because 2031313004129 - 2⁸ = 2031313003873 is a prime.

It is not a weakly prime, because it can be changed into another prime (2031313054129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1015656502064 + 1015656502065.

It is an arithmetic number, because the mean of its divisors is an integer number (1015656502065).

Almost surely, 2^{2031313004129} is an apocalyptic number.

It is an amenable number.

2031313004129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2031313004129 is an equidigital number, since it uses as much as digits as its factorization.

2031313004129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 2031313004129 in words is "two trillion, thirty-one billion, three hundred thirteen million, four thousand, one hundred twenty-nine".