313010113 has 16 divisors (see below), whose sum is σ = 348432336. Its totient is φ = 279336960.

The previous prime is 313010107. The next prime is 313010129. The reversal of 313010113 is 311010313.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 168818049 + 144192064 = 12993^2 + 12008^2 .

It is a cyclic number.

It is not a de Polignac number, because 313010113 - 2⁵ = 313010081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 313010093 and 313010102.

It is not an unprimeable number, because it can be changed into a prime (313010143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57631 + ... + 62827.

It is an arithmetic number, because the mean of its divisors is an integer number (21777021).

Almost surely, 2^313010113 is an apocalyptic number.

It is an amenable number.

313010113 is a deficient number, since it is larger than the sum of its proper divisors (35422223).

313010113 is a wasteful number, since it uses less digits than its factorization.

313010113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 313010113 is about 17692.0918209238. The cubic root of 313010113 is about 678.9734460086.

Adding to 313010113 its reverse (311010313), we get a palindrome (624020426).

The spelling of 313010113 in words is "three hundred thirteen million, ten thousand, one hundred thirteen".