100231312013 has 16 divisors (see below), whose sum is σ = 120873565440. Its totient is φ = 81253873536.

The previous prime is 100231312007. The next prime is 100231312019. The reversal of 100231312013 is 310213132001.

It is an interprime number because it is at equal distance from previous prime (100231312007) and next prime (100231312019).

It is a cyclic number.

It is not a de Polignac number, because 100231312013 - 2¹⁰ = 100231310989 is a prime.

It is a super-2 number, since 2×100231312013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100231311982 and 100231312000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100231312019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3483170 + ... + 3511827.

It is an arithmetic number, because the mean of its divisors is an integer number (7554597840).

Almost surely, 2^100231312013 is an apocalyptic number.

It is an amenable number.

100231312013 is a deficient number, since it is larger than the sum of its proper divisors (20642253427).

100231312013 is an equidigital number, since it uses as much as digits as its factorization.

100231312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6995116.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100231312013 its reverse (310213132001), we get a palindrome (410444444014).

The spelling of 100231312013 in words is "one hundred billion, two hundred thirty-one million, three hundred twelve thousand, thirteen".