100113102322313 has 16 divisors (see below), whose sum is σ = 107848285289472. Its totient is φ = 92660509656000.

The previous prime is 100113102322237. The next prime is 100113102322333. The reversal of 100113102322313 is 313223201311001.

It is a cyclic number.

It is not a de Polignac number, because 100113102322313 - 2¹⁴ = 100113102305929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100113102322333) 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, 2063258 + ... + 14299763.

It is an arithmetic number, because the mean of its divisors is an integer number (6740517830592).

Almost surely, 2^{100113102322313} is an apocalyptic number.

It is an amenable number.

100113102322313 is a deficient number, since it is larger than the sum of its proper divisors (7735182967159).

100113102322313 is a wasteful number, since it uses less digits than its factorization.

100113102322313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16371656.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 100113102322313 its reverse (313223201311001), we get a palindrome (413336303633314).

The spelling of 100113102322313 in words is "one hundred trillion, one hundred thirteen billion, one hundred two million, three hundred twenty-two thousand, three hundred thirteen".