312331131102113 has 2 divisors, whose sum is σ = 312331131102114. Its totient is φ = 312331131102112.

The previous prime is 312331131102091. The next prime is 312331131102241. The reversal of 312331131102113 is 311201131133213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 194077859779489 + 118253271322624 = 13931183^2 + 10874432^2 .

It is a cyclic number.

It is not a de Polignac number, because 312331131102113 - 2¹⁶ = 312331131036577 is a prime.

It is not a weakly prime, because it can be changed into another prime (312331131102313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156165565551056 + 156165565551057.

It is an arithmetic number, because the mean of its divisors is an integer number (156165565551057).

Almost surely, 2^{312331131102113} is an apocalyptic number.

It is an amenable number.

312331131102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

312331131102113 is an equidigital number, since it uses as much as digits as its factorization.

312331131102113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 312331131102113 its reverse (311201131133213), we get a palindrome (623532262235326).

The spelling of 312331131102113 in words is "three hundred twelve trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred two thousand, one hundred thirteen".