100113121031 has 24 divisors (see below), whose sum is σ = 129999792384. Its totient is φ = 76196015280.

The previous prime is 100113120977. The next prime is 100113121033. The reversal of 100113121031 is 130121311001.

It is a happy number.

It is not a de Polignac number, because 100113121031 - 2⁶ = 100113120967 is a prime.

It is a super-2 number, since 2×100113121031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100113120997 and 100113121015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113121033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2136575 + ... + 2182928.

It is an arithmetic number, because the mean of its divisors is an integer number (5416658016).

Almost surely, 2^100113121031 is an apocalyptic number.

100113121031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100113121031 is a deficient number, since it is larger than the sum of its proper divisors (29886671353).

100113121031 is a wasteful number, since it uses less digits than its factorization.

100113121031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319571 (or 4319564 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100113121031 its reverse (130121311001), we get a palindrome (230234432032).

The spelling of 100113121031 in words is "one hundred billion, one hundred thirteen million, one hundred twenty-one thousand, thirty-one".