312033120012213 has 64 divisors (see below), whose sum is σ = 438118711418880. Its totient is φ = 197264916576000.

The previous prime is 312033120012203. The next prime is 312033120012221. The reversal of 312033120012213 is 312210021330213.

It is not a de Polignac number, because 312033120012213 - 2⁶ = 312033120012149 is a prime.

It is a super-2 number, since 2×312033120012213² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312033120012203) 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 63 ways as a sum of consecutive naturals, for example, 21907815670 + ... + 21907829912.

It is an arithmetic number, because the mean of its divisors is an integer number (6845604865920).

Almost surely, 2^{312033120012213} is an apocalyptic number.

It is an amenable number.

312033120012213 is a deficient number, since it is larger than the sum of its proper divisors (126085591406667).

312033120012213 is a wasteful number, since it uses less digits than its factorization.

312033120012213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19610.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 312033120012213 its reverse (312210021330213), we get a palindrome (624243141342426).

The spelling of 312033120012213 in words is "three hundred twelve trillion, thirty-three billion, one hundred twenty million, twelve thousand, two hundred thirteen".