312033123113 has 2 divisors, whose sum is σ = 312033123114. Its totient is φ = 312033123112.

The previous prime is 312033122971. The next prime is 312033123133. The reversal of 312033123113 is 311321330213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239269679104 + 72763444009 = 489152^2 + 269747^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312033123113 is a prime.

It is a super-2 number, since 2×312033123113² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312033123133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156016561556 + 156016561557.

It is an arithmetic number, because the mean of its divisors is an integer number (156016561557).

Almost surely, 2^312033123113 is an apocalyptic number.

It is an amenable number.

312033123113 is a deficient number, since it is larger than the sum of its proper divisors (1).

312033123113 is an equidigital number, since it uses as much as digits as its factorization.

312033123113 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 23.

Adding to 312033123113 its reverse (311321330213), we get a palindrome (623354453326).

The spelling of 312033123113 in words is "three hundred twelve billion, thirty-three million, one hundred twenty-three thousand, one hundred thirteen".