31312033010117 has 2 divisors, whose sum is σ = 31312033010118. Its totient is φ = 31312033010116.

The previous prime is 31312033010059. The next prime is 31312033010131. The reversal of 31312033010117 is 71101033021313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22250975804836 + 9061057205281 = 4717094^2 + 3010159^2 .

It is a cyclic number.

It is not a de Polignac number, because 31312033010117 - 2⁸ = 31312033009861 is a prime.

It is a super-2 number, since 2×31312033010117² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31312033018117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656016505058 + 15656016505059.

It is an arithmetic number, because the mean of its divisors is an integer number (15656016505059).

Almost surely, 2^{31312033010117} is an apocalyptic number.

It is an amenable number.

31312033010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

31312033010117 is an equidigital number, since it uses as much as digits as its factorization.

31312033010117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 26.

The spelling of 31312033010117 in words is "thirty-one trillion, three hundred twelve billion, thirty-three million, ten thousand, one hundred seventeen".