10400313 has 24 divisors (see below), whose sum is σ = 17424064. Its totient is φ = 5401440.

The previous prime is 10400309. The next prime is 10400329. The reversal of 10400313 is 31300401.

It is not a de Polignac number, because 10400313 - 2² = 10400309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10400303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495 + ... + 4587.

Almost surely, 2^10400313 is an apocalyptic number.

It is an amenable number.

10400313 is a deficient number, since it is larger than the sum of its proper divisors (7023751).

10400313 is a wasteful number, since it uses less digits than its factorization.

10400313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10400313 is about 3224.9516275442. The cubic root of 10400313 is about 218.2807663721.

Adding to 10400313 its reverse (31300401), we get a palindrome (41700714).

The spelling of 10400313 in words is "ten million, four hundred thousand, three hundred thirteen".