100310132013 has 48 divisors (see below), whose sum is σ = 169989584256. Its totient is φ = 51480748800.

The previous prime is 100310131937. The next prime is 100310132057. The reversal of 100310132013 is 310231013001.

It is not a de Polignac number, because 100310132013 - 2⁹ = 100310131501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100310131983 and 100310132001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100310132213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250638 + ... + 513263.

It is an arithmetic number, because the mean of its divisors is an integer number (3541449672).

Almost surely, 2^100310132013 is an apocalyptic number.

100310132013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100310132013 is a deficient number, since it is larger than the sum of its proper divisors (69679452243).

100310132013 is a wasteful number, since it uses less digits than its factorization.

100310132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763974 (or 763961 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100310132013 its reverse (310231013001), we get a palindrome (410541145014).

The spelling of 100310132013 in words is "one hundred billion, three hundred ten million, one hundred thirty-two thousand, thirteen".