100113112331 has 2 divisors, whose sum is σ = 100113112332. Its totient is φ = 100113112330.

The previous prime is 100113112313. The next prime is 100113112339. The reversal of 100113112331 is 133211311001.

Together with previous prime (100113112313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100113112331 - 2²⁶ = 100046003467 is a prime.

It is a super-2 number, since 2×100113112331² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100113112339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056556165 + 50056556166.

It is an arithmetic number, because the mean of its divisors is an integer number (50056556166).

Almost surely, 2^100113112331 is an apocalyptic number.

100113112331 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113112331 is an equidigital number, since it uses as much as digits as its factorization.

100113112331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 100113112331 its reverse (133211311001), we get a palindrome (233324423332).

The spelling of 100113112331 in words is "one hundred billion, one hundred thirteen million, one hundred twelve thousand, three hundred thirty-one".