312120213220013 has 16 divisors (see below), whose sum is σ = 340528906656000. Its totient is φ = 283717209746880.

The previous prime is 312120213220007. The next prime is 312120213220037. The reversal of 312120213220013 is 310022312021213.

It is a cyclic number.

It is not a de Polignac number, because 312120213220013 - 2¹⁸ = 312120212957869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312120213220063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8324740895 + ... + 8324778387.

It is an arithmetic number, because the mean of its divisors is an integer number (21283056666000).

Almost surely, 2^{312120213220013} is an apocalyptic number.

It is an amenable number.

312120213220013 is a deficient number, since it is larger than the sum of its proper divisors (28408693435987).

312120213220013 is a wasteful number, since it uses less digits than its factorization.

312120213220013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93172.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 312120213220013 its reverse (310022312021213), we get a palindrome (622142525241226).

The spelling of 312120213220013 in words is "three hundred twelve trillion, one hundred twenty billion, two hundred thirteen million, two hundred twenty thousand, thirteen".