31042434120233 has 2 divisors, whose sum is σ = 31042434120234. Its totient is φ = 31042434120232.

The previous prime is 31042434120193. The next prime is 31042434120253. The reversal of 31042434120233 is 33202143424013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16793341729024 + 14249092391209 = 4097968^2 + 3774797^2 .

It is a cyclic number.

It is not a de Polignac number, because 31042434120233 - 2¹⁸ = 31042433858089 is a prime.

It is a super-2 number, since 2×31042434120233² (a number of 28 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 31042434120233.

It is not a weakly prime, because it can be changed into another prime (31042434120253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15521217060116 + 15521217060117.

It is an arithmetic number, because the mean of its divisors is an integer number (15521217060117).

Almost surely, 2^{31042434120233} is an apocalyptic number.

It is an amenable number.

31042434120233 is a deficient number, since it is larger than the sum of its proper divisors (1).

31042434120233 is an equidigital number, since it uses as much as digits as its factorization.

31042434120233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 31042434120233 its reverse (33202143424013), we get a palindrome (64244577544246).

The spelling of 31042434120233 in words is "thirty-one trillion, forty-two billion, four hundred thirty-four million, one hundred twenty thousand, two hundred thirty-three".