10400032313 has 16 divisors (see below), whose sum is σ = 11574235392. Its totient is φ = 9265104000.

The previous prime is 10400032309. The next prime is 10400032327. The reversal of 10400032313 is 31323000401.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10400032313 - 2² = 10400032309 is a prime.

It is a super-2 number, since 2×10400032313² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10400032291 and 10400032300.

It is not an unprimeable number, because it can be changed into a prime (10400032393) 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, 153245 + ... + 210437.

It is an arithmetic number, because the mean of its divisors is an integer number (723389712).

Almost surely, 2^10400032313 is an apocalyptic number.

It is an amenable number.

10400032313 is a deficient number, since it is larger than the sum of its proper divisors (1174203079).

10400032313 is a wasteful number, since it uses less digits than its factorization.

10400032313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57536.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10400032313 its reverse (31323000401), we get a palindrome (41723032714).

The spelling of 10400032313 in words is "ten billion, four hundred million, thirty-two thousand, three hundred thirteen".