100013200401 has 16 divisors (see below), whose sum is σ = 140249802240. Its totient is φ = 63307196160.

The previous prime is 100013200387. The next prime is 100013200403. The reversal of 100013200401 is 104002310001.

It is a happy number.

It is not a de Polignac number, because 100013200401 - 2¹⁵ = 100013167633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100013200403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10140456 + ... + 10150313.

It is an arithmetic number, because the mean of its divisors is an integer number (8765612640).

Almost surely, 2^100013200401 is an apocalyptic number.

It is an amenable number.

100013200401 is a deficient number, since it is larger than the sum of its proper divisors (40236601839).

100013200401 is a wasteful number, since it uses less digits than its factorization.

100013200401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20290856.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100013200401 its reverse (104002310001), we get a palindrome (204015510402).

The spelling of 100013200401 in words is "one hundred billion, thirteen million, two hundred thousand, four hundred one".