312203300013 has 24 divisors (see below), whose sum is σ = 492140494560. Its totient is φ = 189143436960.

The previous prime is 312203299963. The next prime is 312203300021. The reversal of 312203300013 is 310003302213.

312203300013 is a `hidden beast` number, since 312 + 20 + 330 + 0 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 312203300013 - 2⁸ = 312203299757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312203305013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322078 + ... + 853311.

It is an arithmetic number, because the mean of its divisors is an integer number (20505853940).

Almost surely, 2^312203300013 is an apocalyptic number.

312203300013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312203300013 is a deficient number, since it is larger than the sum of its proper divisors (179937194547).

312203300013 is a wasteful number, since it uses less digits than its factorization.

312203300013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178089 (or 1178086 counting only the distinct ones).

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

Adding to 312203300013 its reverse (310003302213), we get a palindrome (622206602226).

It can be divided in two parts, 312203 and 300013, that added together give a palindrome (612216).

The spelling of 312203300013 in words is "three hundred twelve billion, two hundred three million, three hundred thousand, thirteen".