312331132081 has 2 divisors, whose sum is σ = 312331132082. Its totient is φ = 312331132080.

The previous prime is 312331132037. The next prime is 312331132093. The reversal of 312331132081 is 180231133213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301410882081 + 10920250000 = 549009^2 + 104500^2 .

It is a cyclic number.

It is not a de Polignac number, because 312331132081 - 2⁷ = 312331131953 is a prime.

It is a super-2 number, since 2×312331132081² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312331132181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156165566040 + 156165566041.

It is an arithmetic number, because the mean of its divisors is an integer number (156165566041).

Almost surely, 2^312331132081 is an apocalyptic number.

It is an amenable number.

312331132081 is a deficient number, since it is larger than the sum of its proper divisors (1).

312331132081 is an equidigital number, since it uses as much as digits as its factorization.

312331132081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 312331132081 its reverse (180231133213), we get a palindrome (492562265294).

The spelling of 312331132081 in words is "three hundred twelve billion, three hundred thirty-one million, one hundred thirty-two thousand, eighty-one".