312011123312031 has 256 divisors, whose sum is σ = 546931110297600. Its totient is φ = 155215678464000.

The previous prime is 312011123312023. The next prime is 312011123312101. The reversal of 312011123312031 is 130213321110213.

It is not a de Polignac number, because 312011123312031 - 2³ = 312011123312023 is a prime.

It is a super-2 number, since 2×312011123312031² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312011123311992 and 312011123312010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312011123312531) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2139642240 + ... + 2139788058.

It is an arithmetic number, because the mean of its divisors is an integer number (2136449649600).

Almost surely, 2^{312011123312031} is an apocalyptic number.

312011123312031 is a deficient number, since it is larger than the sum of its proper divisors (234919986985569).

312011123312031 is a wasteful number, since it uses less digits than its factorization.

312011123312031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146110.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 312011123312031 its reverse (130213321110213), we get a palindrome (442224444422244).

The spelling of 312011123312031 in words is "three hundred twelve trillion, eleven billion, one hundred twenty-three million, three hundred twelve thousand, thirty-one".