100430401513013 has 32 divisors (see below), whose sum is σ = 118514680636800. Its totient is φ = 83901246854400.

The previous prime is 100430401512977. The next prime is 100430401513061. The reversal of 100430401513013 is 310315104034001.

It is a cyclic number.

It is not a de Polignac number, because 100430401513013 - 2²⁰ = 100430400464437 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 (100430401513213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357096458 + ... + 357377588.

It is an arithmetic number, because the mean of its divisors is an integer number (3703583769900).

Almost surely, 2^{100430401513013} is an apocalyptic number.

100430401513013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100430401513013 is a deficient number, since it is larger than the sum of its proper divisors (18084279123787).

100430401513013 is a wasteful number, since it uses less digits than its factorization.

100430401513013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292293.

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 100430401513013 its reverse (310315104034001), we get a palindrome (410745505547014).

The spelling of 100430401513013 in words is "one hundred trillion, four hundred thirty billion, four hundred one million, five hundred thirteen thousand, thirteen".