100113023313 has 12 divisors (see below), whose sum is σ = 144643449808. Its totient is φ = 66725515800.

The previous prime is 100113023299. The next prime is 100113023327. The reversal of 100113023313 is 313320311001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100113023299) and next prime (100113023327).

It is not a de Polignac number, because 100113023313 - 2⁸ = 100113023057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100113028313) 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, 1336495 + ... + 1409412.

Almost surely, 2^100113023313 is an apocalyptic number.

It is an amenable number.

100113023313 is a deficient number, since it is larger than the sum of its proper divisors (44530426495).

100113023313 is a wasteful number, since it uses less digits than its factorization.

100113023313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749964 (or 2749961 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100113023313 its reverse (313320311001), we get a palindrome (413433334314).

The spelling of 100113023313 in words is "one hundred billion, one hundred thirteen million, twenty-three thousand, three hundred thirteen".