100013332001 has 24 divisors (see below), whose sum is σ = 117958807008. Its totient is φ = 84034872000.

The previous prime is 100013331991. The next prime is 100013332007. The reversal of 100013332001 is 100233310001.

It is not a de Polignac number, because 100013332001 - 2¹⁴ = 100013315617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100013332007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144335 + ... + 469956.

It is an arithmetic number, because the mean of its divisors is an integer number (4914950292).

Almost surely, 2^100013332001 is an apocalyptic number.

100013332001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100013332001 is a deficient number, since it is larger than the sum of its proper divisors (17945475007).

100013332001 is a wasteful number, since it uses less digits than its factorization.

100013332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614381 (or 614362 counting only the distinct ones).

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

Adding to 100013332001 its reverse (100233310001), we get a palindrome (200246642002).

The spelling of 100013332001 in words is "one hundred billion, thirteen million, three hundred thirty-two thousand, one".