10401313 has 16 divisors (see below), whose sum is σ = 11975040. Its totient is φ = 8959104.

The previous prime is 10401301. The next prime is 10401317. The reversal of 10401313 is 31310401.

10401313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10401313 - 2⁹ = 10400801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

10401313 is a modest number, since divided by 1313 gives 1040 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10401293 and 10401302.

It is not an unprimeable number, because it can be changed into a prime (10401317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12453 + ... + 13261.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 2^10401313 is an apocalyptic number.

10401313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10401313 is a deficient number, since it is larger than the sum of its proper divisors (1573727).

10401313 is a wasteful number, since it uses less digits than its factorization.

10401313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 10401313 is about 3225.1066649027. The cubic root of 10401313 is about 218.2877621158.

Adding to 10401313 its reverse (31310401), we get a palindrome (41711714).

The spelling of 10401313 in words is "ten million, four hundred one thousand, three hundred thirteen".