312121310013 has 64 divisors (see below), whose sum is σ = 481197024000. Its totient is φ = 199836419328.

The previous prime is 312121309999. The next prime is 312121310027. The reversal of 312121310013 is 310013121213.

It is an interprime number because it is at equal distance from previous prime (312121309999) and next prime (312121310027).

It is not a de Polignac number, because 312121310013 - 2²⁰ = 312120261437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312121310063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12934203 + ... + 12958311.

It is an arithmetic number, because the mean of its divisors is an integer number (7518703500).

Almost surely, 2^312121310013 is an apocalyptic number.

It is an amenable number.

312121310013 is a deficient number, since it is larger than the sum of its proper divisors (169075713987).

312121310013 is a wasteful number, since it uses less digits than its factorization.

312121310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24363 (or 24357 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 312121310013 its reverse (310013121213), we get a palindrome (622134431226).

The spelling of 312121310013 in words is "three hundred twelve billion, one hundred twenty-one million, three hundred ten thousand, thirteen".