100013032001 has 2 divisors, whose sum is σ = 100013032002. Its totient is φ = 100013032000.

The previous prime is 100013031983. The next prime is 100013032039. The reversal of 100013032001 is 100230310001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96363059776 + 3649972225 = 310424^2 + 60415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100013032001 is a prime.

It is a super-3 number, since 3×100013032001³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100013032051) 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 as a sum of consecutive naturals, namely, 50006516000 + 50006516001.

It is an arithmetic number, because the mean of its divisors is an integer number (50006516001).

Almost surely, 2^100013032001 is an apocalyptic number.

It is an amenable number.

100013032001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100013032001 is an equidigital number, since it uses as much as digits as its factorization.

100013032001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100013032001 its reverse (100230310001), we get a palindrome (200243342002).

The spelling of 100013032001 in words is "one hundred billion, thirteen million, thirty-two thousand, one".