31331231329 has 2 divisors, whose sum is σ = 31331231330. Its totient is φ = 31331231328.

The previous prime is 31331231263. The next prime is 31331231333. The reversal of 31331231329 is 92313213313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27177171025 + 4154060304 = 164855^2 + 64452^2 .

It is a cyclic number.

It is not a de Polignac number, because 31331231329 - 2²⁹ = 30794360417 is a prime.

It is a super-2 number, since 2×31331231329² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31331231329.

It is not a weakly prime, because it can be changed into another prime (31331231359) 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, 15665615664 + 15665615665.

It is an arithmetic number, because the mean of its divisors is an integer number (15665615665).

Almost surely, 2^31331231329 is an apocalyptic number.

It is an amenable number.

31331231329 is a deficient number, since it is larger than the sum of its proper divisors (1).

31331231329 is an equidigital number, since it uses as much as digits as its factorization.

31331231329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8748, while the sum is 31.

The spelling of 31331231329 in words is "thirty-one billion, three hundred thirty-one million, two hundred thirty-one thousand, three hundred twenty-nine".