100300312013 has 16 divisors (see below), whose sum is σ = 114189405696. Its totient is φ = 87207307440.

The previous prime is 100300312003. The next prime is 100300312039. The reversal of 100300312013 is 310213003001.

It is not a de Polignac number, because 100300312013 - 2⁴ = 100300311997 is a prime.

It is a super-2 number, since 2×100300312013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100300312003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2761670 + ... + 2797752.

It is an arithmetic number, because the mean of its divisors is an integer number (7136837856).

Almost surely, 2^100300312013 is an apocalyptic number.

It is an amenable number.

100300312013 is a deficient number, since it is larger than the sum of its proper divisors (13889093683).

100300312013 is a wasteful number, since it uses less digits than its factorization.

100300312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47104.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100300312013 its reverse (310213003001), we get a palindrome (410513315014).

The spelling of 100300312013 in words is "one hundred billion, three hundred million, three hundred twelve thousand, thirteen".