31311122013329 has 2 divisors, whose sum is σ = 31311122013330. Its totient is φ = 31311122013328.

The previous prime is 31311122013277. The next prime is 31311122013359. The reversal of 31311122013329 is 92331022111313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26408652934225 + 4902469079104 = 5138935^2 + 2214152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31311122013329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31311122013295 and 31311122013304.

It is not a weakly prime, because it can be changed into another prime (31311122013359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15655561006664 + 15655561006665.

It is an arithmetic number, because the mean of its divisors is an integer number (15655561006665).

Almost surely, 2^{31311122013329} is an apocalyptic number.

It is an amenable number.

31311122013329 is a deficient number, since it is larger than the sum of its proper divisors (1).

31311122013329 is an equidigital number, since it uses as much as digits as its factorization.

31311122013329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 32.

The spelling of 31311122013329 in words is "thirty-one trillion, three hundred eleven billion, one hundred twenty-two million, thirteen thousand, three hundred twenty-nine".