3213023000031 has 128 divisors (see below), whose sum is σ = 5571618877440. Its totient is φ = 1811879000064.

The previous prime is 3213023000009. The next prime is 3213023000051. The reversal of 3213023000031 is 1300003203123.

3213023000031 is a `hidden beast` number, since 32 + 1 + 302 + 300 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 3213023000031 - 2¹⁴ = 3213022983647 is a prime.

It is a super-2 number, since 2×3213023000031² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3213022999968 and 3213023000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213023000051) 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 127 ways as a sum of consecutive naturals, for example, 81316426 + ... + 81355928.

It is an arithmetic number, because the mean of its divisors is an integer number (43528272480).

Almost surely, 2^{3213023000031} is an apocalyptic number.

3213023000031 is a deficient number, since it is larger than the sum of its proper divisors (2358595877409).

3213023000031 is a wasteful number, since it uses less digits than its factorization.

3213023000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39902 (or 39896 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3213023000031 its reverse (1300003203123), we get a palindrome (4513026203154).

The spelling of 3213023000031 in words is "three trillion, two hundred thirteen billion, twenty-three million, thirty-one", and thus it is an aban number.