313442321314023 has 96 divisors (see below), whose sum is σ = 513510835968000. Its totient is φ = 182517940224000.

The previous prime is 313442321314009. The next prime is 313442321314069. The reversal of 313442321314023 is 320413123244313.

313442321314023 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 4 + 232 + 13 + 1 + 402 + 3 = 666.

It is not a de Polignac number, because 313442321314023 - 2²⁰ = 313442320265447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313442321310023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 295035943 + ... + 296096423.

It is an arithmetic number, because the mean of its divisors is an integer number (5349071208000).

Almost surely, 2^{313442321314023} is an apocalyptic number.

313442321314023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

313442321314023 is a deficient number, since it is larger than the sum of its proper divisors (200068514653977).

313442321314023 is a wasteful number, since it uses less digits than its factorization.

313442321314023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061221 (or 1061218 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 313442321314023 its reverse (320413123244313), we get a palindrome (633855444558336).

The spelling of 313442321314023 in words is "three hundred thirteen trillion, four hundred forty-two billion, three hundred twenty-one million, three hundred fourteen thousand, twenty-three".