313135105 has 16 divisors (see below), whose sum is σ = 396385920. Its totient is φ = 236815488.

The previous prime is 313135079. The next prime is 313135111. The reversal of 313135105 is 501531313.

It is a cyclic number.

It is not a de Polignac number, because 313135105 - 2¹⁵ = 313102337 is a prime.

It is a super-2 number, since 2×313135105² = 196107187966722050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44509 + ... + 51061.

It is an arithmetic number, because the mean of its divisors is an integer number (24774120).

Almost surely, 2^313135105 is an apocalyptic number.

It is an amenable number.

313135105 is a deficient number, since it is larger than the sum of its proper divisors (83250815).

313135105 is a wasteful number, since it uses less digits than its factorization.

313135105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7080.

The product of its (nonzero) digits is 675, while the sum is 22.

The square root of 313135105 is about 17695.6238940592. The cubic root of 313135105 is about 679.0638104533.

Adding to 313135105 its reverse (501531313), we get a palindrome (814666418).

The spelling of 313135105 in words is "three hundred thirteen million, one hundred thirty-five thousand, one hundred five".