313766902201 has 3 divisors (see below), whose sum is σ = 313767462351. Its totient is φ = 313766342052.

The previous prime is 313766902187. The next prime is 313766902213. The reversal of 313766902201 is 102209667313.

It is a happy number.

The square root of 313766902201 is 560149.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 295880514601 + 17886387600 = 543949^2 + 133740^2 .

It is not a de Polignac number, because 313766902201 - 2²⁷ = 313632684473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313766902261) 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 2 ways as a sum of consecutive naturals, for example, 280075 + ... + 840223.

It is an arithmetic number, because the mean of its divisors is an integer number (104589154117).

Almost surely, 2^313766902201 is an apocalyptic number.

313766902201 is the 560149-th square number.

313766902201 is the 280075-th centered octagonal number.

It is an amenable number.

313766902201 is a deficient number, since it is larger than the sum of its proper divisors (560150).

313766902201 is an frugal number, since it uses more digits than its factorization.

313766902201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120298 (or 560149 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 313766902201 in words is "three hundred thirteen billion, seven hundred sixty-six million, nine hundred two thousand, two hundred one".