312231131323033 has 32 divisors (see below), whose sum is σ = 371564432820000. Its totient is φ = 259588093771776.

The previous prime is 312231131323009. The next prime is 312231131323099. The reversal of 312231131323033 is 330323131132213.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 239747226315529 + 72483905007504 = 15483773^2 + 8513748^2 .

It is not a de Polignac number, because 312231131323033 - 2¹⁷ = 312231131191961 is a prime.

It is a super-2 number, since 2×312231131323033² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312231131322986 and 312231131323004.

It is not an unprimeable number, because it can be changed into a prime (312231131320033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214840408 + ... + 216288841.

It is an arithmetic number, because the mean of its divisors is an integer number (11611388525625).

Almost surely, 2^{312231131323033} is an apocalyptic number.

It is an amenable number.

312231131323033 is a deficient number, since it is larger than the sum of its proper divisors (59333301496967).

312231131323033 is a wasteful number, since it uses less digits than its factorization.

312231131323033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431129421.

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 312231131323033 its reverse (330323131132213), we get a palindrome (642554262455246).

The spelling of 312231131323033 in words is "three hundred twelve trillion, two hundred thirty-one billion, one hundred thirty-one million, three hundred twenty-three thousand, thirty-three".