313413077727 has 24 divisors (see below), whose sum is σ = 460290383280. Its totient is φ = 205444788480.

The previous prime is 313413077693. The next prime is 313413077737. The reversal of 313413077727 is 727770314313.

313413077727 is a `hidden beast` number, since 313 + 4 + 1 + 307 + 7 + 7 + 27 = 666.

It is not a de Polignac number, because 313413077727 - 2²² = 313408883423 is a prime.

It is a super-3 number, since 3×313413077727³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313413077737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1491924 + ... + 1688982.

It is an arithmetic number, because the mean of its divisors is an integer number (19178765970).

Almost surely, 2^313413077727 is an apocalyptic number.

313413077727 is a deficient number, since it is larger than the sum of its proper divisors (146877305553).

313413077727 is a wasteful number, since it uses less digits than its factorization.

313413077727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200023 (or 200020 counting only the distinct ones).

The product of its (nonzero) digits is 518616, while the sum is 45.

The spelling of 313413077727 in words is "three hundred thirteen billion, four hundred thirteen million, seventy-seven thousand, seven hundred twenty-seven".