313822919601 has 9 divisors (see below), whose sum is σ = 453302200299. Its totient is φ = 209214159336.

The previous prime is 313822919587. The next prime is 313822919603. The reversal of 313822919601 is 106919228313.

It is a happy number.

The square root of 313822919601 is 560199.

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

313822919601 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 2 + 29 + 19 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 258373973025 + 55448946576 = 508305^2 + 235476^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 313822919601 - 2⁵ = 313822919569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313822919603) 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 8 ways as a sum of consecutive naturals, for example, 1587231 + ... + 1773963.

Almost surely, 2^313822919601 is an apocalyptic number.

313822919601 is the 560199-th square number.

313822919601 is the 280100-th centered octagonal number.

It is an amenable number.

313822919601 is a deficient number, since it is larger than the sum of its proper divisors (139479280698).

313822919601 is an frugal number, since it uses more digits than its factorization.

313822919601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373472 (or 186736 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 313822919601 in words is "three hundred thirteen billion, eight hundred twenty-two million, nine hundred nineteen thousand, six hundred one".