31330013129 has 2 divisors, whose sum is σ = 31330013130. Its totient is φ = 31330013128.

The previous prime is 31330013093. The next prime is 31330013131. The reversal of 31330013129 is 92131003313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16737373129 + 14592640000 = 129373^2 + 120800^2 .

It is a cyclic number.

It is not a de Polignac number, because 31330013129 - 2²⁴ = 31313235913 is a prime.

Together with 31330013131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 31330013098 and 31330013107.

It is not a weakly prime, because it can be changed into another prime (31330013189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15665006564 + 15665006565.

It is an arithmetic number, because the mean of its divisors is an integer number (15665006565).

Almost surely, 2^31330013129 is an apocalyptic number.

It is an amenable number.

31330013129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31330013129 is an equidigital number, since it uses as much as digits as its factorization.

31330013129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 26.

The spelling of 31330013129 in words is "thirty-one billion, three hundred thirty million, thirteen thousand, one hundred twenty-nine".