100013001023 has 8 divisors (see below), whose sum is σ = 107708882400. Its totient is φ = 92317487328.

The previous prime is 100013000999. The next prime is 100013001041. The reversal of 100013001023 is 320100310001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100013001023 - 2⁸ = 100013000767 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100013000995 and 100013001013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013001083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 778013 + ... + 897401.

It is an arithmetic number, because the mean of its divisors is an integer number (13463610300).

Almost surely, 2^100013001023 is an apocalyptic number.

100013001023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100013001023 is a deficient number, since it is larger than the sum of its proper divisors (7695881377).

100013001023 is a wasteful number, since it uses less digits than its factorization.

100013001023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183841.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100013001023 its reverse (320100310001), we get a palindrome (420113311024).

The spelling of 100013001023 in words is "one hundred billion, thirteen million, one thousand, twenty-three".