31321103221233 has 192 divisors, whose sum is σ = 56276453376000. Its totient is φ = 16387976360448.

The previous prime is 31321103221211. The next prime is 31321103221253. The reversal of 31321103221233 is 33212230112313.

31321103221233 is a `hidden beast` number, since 3 + 1 + 3 + 211 + 0 + 322 + 123 + 3 = 666.

It is not a de Polignac number, because 31321103221233 - 2²⁹ = 31320566350321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31321103221197 and 31321103221206.

It is not an unprimeable number, because it can be changed into a prime (31321103221253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4841719323 + ... + 4841725791.

It is an arithmetic number, because the mean of its divisors is an integer number (293106528000).

Almost surely, 2^{31321103221233} is an apocalyptic number.

It is an amenable number.

31321103221233 is a deficient number, since it is larger than the sum of its proper divisors (24955350154767).

31321103221233 is a wasteful number, since it uses less digits than its factorization.

31321103221233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516 (or 7513 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31321103221233 its reverse (33212230112313), we get a palindrome (64533333333546).

The spelling of 31321103221233 in words is "thirty-one trillion, three hundred twenty-one billion, one hundred three million, two hundred twenty-one thousand, two hundred thirty-three".