100510131013 has 4 divisors (see below), whose sum is σ = 100681358400. Its totient is φ = 100338903628.

The previous prime is 100510130983. The next prime is 100510131017. The reversal of 100510131013 is 310131015001.

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: 310131015001 = 12119 ⋅25590479.

It is a cyclic number.

It is not a de Polignac number, because 100510131013 - 2²⁵ = 100476576581 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 (100510131017) 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, 85612813 + ... + 85613986.

It is an arithmetic number, because the mean of its divisors is an integer number (25170339600).

Almost surely, 2^100510131013 is an apocalyptic number.

It is an amenable number.

100510131013 is a deficient number, since it is larger than the sum of its proper divisors (171227387).

100510131013 is an equidigital number, since it uses as much as digits as its factorization.

100510131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171227386.

The product of its (nonzero) digits is 45, while the sum is 16.

Adding to 100510131013 its reverse (310131015001), we get a palindrome (410641146014).

The spelling of 100510131013 in words is "one hundred billion, five hundred ten million, one hundred thirty-one thousand, thirteen".