10100313 has 12 divisors (see below), whose sum is σ = 14929200. Its totient is φ = 6576696.

The previous prime is 10100291. The next prime is 10100333. The reversal of 10100313 is 31300101.

10100313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100313 - 2⁶ = 10100249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100295 and 10100304.

It is not an unprimeable number, because it can be changed into a prime (10100333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12663 + ... + 13436.

It is an arithmetic number, because the mean of its divisors is an integer number (1244100).

Almost surely, 2^10100313 is an apocalyptic number.

It is an amenable number.

10100313 is a deficient number, since it is larger than the sum of its proper divisors (4828887).

10100313 is a wasteful number, since it uses less digits than its factorization.

10100313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26148 (or 26145 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 10100313 is about 3178.0989600703. The cubic root of 10100313 is about 216.1614662035.

Adding to 10100313 its reverse (31300101), we get a palindrome (41400414).

The spelling of 10100313 in words is "ten million, one hundred thousand, three hundred thirteen".