321311221133031 has 12 divisors (see below), whose sum is σ = 464119791325008. Its totient is φ = 214205827053024.

The previous prime is 321311221132973. The next prime is 321311221133051. The reversal of 321311221133031 is 130331122113123.

321311221133031 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 112 + 211 + 330 + 3 + 1 = 666.

It is not a de Polignac number, because 321311221133031 - 2³⁵ = 321276861394663 is a prime.

It is a super-2 number, since 2×321311221133031² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321311221132986 and 321311221133004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321311221133051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136577395 + ... + 138910068.

It is an arithmetic number, because the mean of its divisors is an integer number (38676649277084).

Almost surely, 2^{321311221133031} is an apocalyptic number.

321311221133031 is a deficient number, since it is larger than the sum of its proper divisors (142808570191977).

321311221133031 is a wasteful number, since it uses less digits than its factorization.

321311221133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275617062 (or 275617059 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 321311221133031 its reverse (130331122113123), we get a palindrome (451642343246154).

The spelling of 321311221133031 in words is "three hundred twenty-one trillion, three hundred eleven billion, two hundred twenty-one million, one hundred thirty-three thousand, thirty-one".