31233233120329 has 2 divisors, whose sum is σ = 31233233120330. Its totient is φ = 31233233120328.

The previous prime is 31233233120191. The next prime is 31233233120351. The reversal of 31233233120329 is 92302133233213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17704335353104 + 13528897767225 = 4207652^2 + 3678165^2 .

It is a cyclic number.

It is not a de Polignac number, because 31233233120329 - 2¹¹ = 31233233118281 is a prime.

It is a super-2 number, since 2×31233233120329² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31233233120029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15616616560164 + 15616616560165.

It is an arithmetic number, because the mean of its divisors is an integer number (15616616560165).

Almost surely, 2^{31233233120329} is an apocalyptic number.

It is an amenable number.

31233233120329 is a deficient number, since it is larger than the sum of its proper divisors (1).

31233233120329 is an equidigital number, since it uses as much as digits as its factorization.

31233233120329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 37.

The spelling of 31233233120329 in words is "thirty-one trillion, two hundred thirty-three billion, two hundred thirty-three million, one hundred twenty thousand, three hundred twenty-nine".