313252101 has 24 divisors (see below), whose sum is σ = 473499000. Its totient is φ = 199345536.

The previous prime is 313252099. The next prime is 313252103. The reversal of 313252101 is 101252313.

313252101 is a `hidden beast` number, since 313 + 252 + 101 = 666.

It is an interprime number because it is at equal distance from previous prime (313252099) and next prime (313252103).

It can be written as a sum of positive squares in 4 ways, for example, as 62821476 + 250430625 = 7926^2 + 15825^2 .

It is not a de Polignac number, because 313252101 - 2¹ = 313252099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313252103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8775 + ... + 26523.

It is an arithmetic number, because the mean of its divisors is an integer number (19729125).

Almost surely, 2^313252101 is an apocalyptic number.

It is an amenable number.

313252101 is a deficient number, since it is larger than the sum of its proper divisors (160246899).

313252101 is a wasteful number, since it uses less digits than its factorization.

313252101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17845 (or 17842 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 313252101 is about 17698.9293744000. The cubic root of 313252101 is about 679.1483723093.

The spelling of 313252101 in words is "three hundred thirteen million, two hundred fifty-two thousand, one hundred one".