101315313 has 32 divisors (see below), whose sum is σ = 166020480. Its totient is φ = 60549120.

The previous prime is 101315309. The next prime is 101315329. The reversal of 101315313 is 313513101.

101315313 is a `hidden beast` number, since 1 + 0 + 131 + 531 + 3 = 666.

It is not a de Polignac number, because 101315313 - 2² = 101315309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101315303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19345 + ... + 24017.

It is an arithmetic number, because the mean of its divisors is an integer number (5188140).

Almost surely, 2^101315313 is an apocalyptic number.

It is an amenable number.

101315313 is a deficient number, since it is larger than the sum of its proper divisors (64705167).

101315313 is a wasteful number, since it uses less digits than its factorization.

101315313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 4760 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 101315313 is about 10065.5508046008. The cubic root of 101315313 is about 466.1850729573.

Adding to 101315313 its reverse (313513101), we get a palindrome (414828414).

The spelling of 101315313 in words is "one hundred one million, three hundred fifteen thousand, three hundred thirteen".