100113300031 has 4 divisors (see below), whose sum is σ = 100119357352. Its totient is φ = 100107242712.

The previous prime is 100113300013. The next prime is 100113300097. The reversal of 100113300031 is 130003311001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100113300031 - 2⁷ = 100113299903 is a prime.

It is a super-3 number, since 3×100113300031³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100113299984 and 100113300020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113300731) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3003801 + ... + 3036946.

It is an arithmetic number, because the mean of its divisors is an integer number (25029839338).

Almost surely, 2^100113300031 is an apocalyptic number.

100113300031 is a deficient number, since it is larger than the sum of its proper divisors (6057321).

100113300031 is an equidigital number, since it uses as much as digits as its factorization.

100113300031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6057320.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 100113300031 its reverse (130003311001), we get a palindrome (230116611032).

The spelling of 100113300031 in words is "one hundred billion, one hundred thirteen million, three hundred thousand, thirty-one".