312413201221313 has 4 divisors (see below), whose sum is σ = 312420245372928. Its totient is φ = 312406157069700.

The previous prime is 312413201221307. The next prime is 312413201221321. The reversal of 312413201221313 is 313122102314213.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 312413201221313 - 2⁶ = 312413201221249 is a prime.

It is a super-3 number, since 3×312413201221313³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312413201229313) 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 3 ways as a sum of consecutive naturals, for example, 3522009281 + ... + 3522097982.

It is an arithmetic number, because the mean of its divisors is an integer number (78105061343232).

Almost surely, 2^{312413201221313} is an apocalyptic number.

It is an amenable number.

312413201221313 is a deficient number, since it is larger than the sum of its proper divisors (7044151615).

312413201221313 is an equidigital number, since it uses as much as digits as its factorization.

312413201221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7044151614.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 312413201221313 its reverse (313122102314213), we get a palindrome (625535303535526).

The spelling of 312413201221313 in words is "three hundred twelve trillion, four hundred thirteen billion, two hundred one million, two hundred twenty-one thousand, three hundred thirteen".