313410113 has 8 divisors (see below), whose sum is σ = 332250408. Its totient is φ = 294614784.

The previous prime is 313410107. The next prime is 313410127. The reversal of 313410113 is 311014313.

It can be written as a sum of positive squares in 4 ways, for example, as 114233344 + 199176769 = 10688^2 + 14113^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313410113 - 2⁸ = 313409857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313410091 and 313410100.

It is not an unprimeable number, because it can be changed into a prime (313410103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3695 + ... + 25307.

It is an arithmetic number, because the mean of its divisors is an integer number (41531301).

Almost surely, 2^313410113 is an apocalyptic number.

It is an amenable number.

313410113 is a deficient number, since it is larger than the sum of its proper divisors (18840295).

313410113 is a wasteful number, since it uses less digits than its factorization.

313410113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22483.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 313410113 is about 17703.3926974464. The cubic root of 313410113 is about 679.2625461152.

Adding to 313410113 its reverse (311014313), we get a palindrome (624424426).

The spelling of 313410113 in words is "three hundred thirteen million, four hundred ten thousand, one hundred thirteen".