313814103610401 has 45 divisors (see below), whose sum is σ = 497985953675331. Its totient is φ = 196901266350528.

The previous prime is 313814103610363. The next prime is 313814103610439. The reversal of 313814103610401 is 104016301418313.

The square root of 313814103610401 is 17714799.

It is a perfect power (a square), and thus also a powerful number.

313814103610401 is a `hidden beast` number, since 3 + 1 + 38 + 1 + 4 + 1 + 0 + 3 + 610 + 4 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (313814103610363) and next prime (313814103610439).

It can be written as a sum of positive squares in only one way, i.e., 244318938797025 + 69495164813376 = 15630705^2 + 8336376^2 .

It is not a de Polignac number, because 313814103610401 - 2¹⁵ = 313814103577633 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (313814103610451) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2710306356 + ... + 2710422138.

Almost surely, 2^{313814103610401} is an apocalyptic number.

313814103610401 is the 17714799-th square number.

313814103610401 is the 8857400-th centered octagonal number.

It is an amenable number.

313814103610401 is a deficient number, since it is larger than the sum of its proper divisors (184171850064930).

313814103610401 is an frugal number, since it uses more digits than its factorization.

313814103610401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231612 (or 115803 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 313814103610401 in words is "three hundred thirteen trillion, eight hundred fourteen billion, one hundred three million, six hundred ten thousand, four hundred one".