313504101 has 20 divisors (see below), whose sum is σ = 472970124. Its totient is φ = 206928000.

The previous prime is 313504073. The next prime is 313504129. The reversal of 313504101 is 101405313.

It is an interprime number because it is at equal distance from previous prime (313504073) and next prime (313504129).

It can be written as a sum of positive squares in 2 ways, for example, as 258373476 + 55130625 = 16074^2 + 7425^2 .

It is not a de Polignac number, because 313504101 - 2⁵ = 313504069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313504141) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10980 + ... + 27341.

Almost surely, 2^313504101 is an apocalyptic number.

It is an amenable number.

313504101 is a deficient number, since it is larger than the sum of its proper divisors (159466023).

313504101 is a wasteful number, since it uses less digits than its factorization.

313504101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38434 (or 38425 counting only the distinct ones).

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

The square root of 313504101 is about 17706.0470178976. The cubic root of 313504101 is about 679.3304402734.

Adding to 313504101 its reverse (101405313), we get a palindrome (414909414).

The spelling of 313504101 in words is "three hundred thirteen million, five hundred four thousand, one hundred one".