100013112131 has 8 divisors (see below), whose sum is σ = 105913241280. Its totient is φ = 94114872448.

The previous prime is 100013112079. The next prime is 100013112169. The reversal of 100013112131 is 131211310001.

It is a happy number.

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 100013112131 - 2¹⁴ = 100013095747 is a prime.

It is a super-2 number, since 2×100013112131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100013112431) 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, 362651 + ... + 575796.

It is an arithmetic number, because the mean of its divisors is an integer number (13239155160).

Almost surely, 2^100013112131 is an apocalyptic number.

100013112131 is a deficient number, since it is larger than the sum of its proper divisors (5900129149).

100013112131 is an equidigital number, since it uses as much as digits as its factorization.

100013112131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944733.

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

Adding to 100013112131 its reverse (131211310001), we get a palindrome (231224422132).

The spelling of 100013112131 in words is "one hundred billion, thirteen million, one hundred twelve thousand, one hundred thirty-one".