100131013 has 4 divisors (see below), whose sum is σ = 100851520. Its totient is φ = 99410508.

The previous prime is 100131011. The next prime is 100131019. The reversal of 100131013 is 310131001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 310131001 = 7307 ⋅42443.

It is a cyclic number.

It is not a de Polignac number, because 100131013 - 2¹ = 100131011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131011) 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, 360045 + ... + 360322.

It is an arithmetic number, because the mean of its divisors is an integer number (25212880).

Almost surely, 2^100131013 is an apocalyptic number.

It is an amenable number.

100131013 is a deficient number, since it is larger than the sum of its proper divisors (720507).

100131013 is an equidigital number, since it uses as much as digits as its factorization.

100131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720506.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 100131013 is about 10006.5485058536. The cubic root of 100131013 is about 464.3614977293.

Adding to 100131013 its reverse (310131001), we get a palindrome (410262014).

It can be divided in two parts, 10013 and 1013, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 100131013 in words is "one hundred million, one hundred thirty-one thousand, thirteen".