100040032313 has 16 divisors (see below), whose sum is σ = 108404714880. Its totient is φ = 91772655744.

The previous prime is 100040032307. The next prime is 100040032319. The reversal of 100040032313 is 313230040001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100040032307) and next prime (100040032319).

It is a cyclic number.

It is not a de Polignac number, because 100040032313 - 2²⁸ = 99771596857 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100040032291 and 100040032300.

It is not an unprimeable number, because it can be changed into a prime (100040032319) 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, 1397645 + ... + 1467477.

It is an arithmetic number, because the mean of its divisors is an integer number (6775294680).

Almost surely, 2^100040032313 is an apocalyptic number.

100040032313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100040032313 is a deficient number, since it is larger than the sum of its proper divisors (8364682567).

100040032313 is a wasteful number, since it uses less digits than its factorization.

100040032313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70528.

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

Adding to 100040032313 its reverse (313230040001), we get a palindrome (413270072314).

The spelling of 100040032313 in words is "one hundred billion, forty million, thirty-two thousand, three hundred thirteen".