100010131013 has 4 divisors (see below), whose sum is σ = 107703218028. Its totient is φ = 92317044000.

The previous prime is 100010131007. The next prime is 100010131019. The reversal of 100010131013 is 310131010001.

It is a happy number.

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

It is an interprime number because it is at equal distance from previous prime (100010131007) and next prime (100010131019).

It can be written as a sum of positive squares in 2 ways, for example, as 8768075044 + 91242055969 = 93638^2 + 302063^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010131013 - 2³² = 95715163717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010130985 and 100010131003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010131019) 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, 3846543488 + ... + 3846543513.

It is an arithmetic number, because the mean of its divisors is an integer number (26925804507).

Almost surely, 2^100010131013 is an apocalyptic number.

100010131013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100010131013 is a deficient number, since it is larger than the sum of its proper divisors (7693087015).

100010131013 is an equidigital number, since it uses as much as digits as its factorization.

100010131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7693087014.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 100010131013 its reverse (310131010001), we get a palindrome (410141141014).

The spelling of 100010131013 in words is "one hundred billion, ten million, one hundred thirty-one thousand, thirteen".