100132203313001 has 6 divisors (see below), whose sum is σ = 104675063199210. Its totient is φ = 95778629255408.

The previous prime is 100132203312997. The next prime is 100132203313019. The reversal of 100132203313001 is 100313302231001.

It can be written as a sum of positive squares in only one way, i.e., 72077977515625 + 28054225797376 = 8489875^2 + 5296624^2 .

It is not a de Polignac number, because 100132203313001 - 2² = 100132203312997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100132203313091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94642913756 + ... + 94642914813.

It is an arithmetic number, because the mean of its divisors is an integer number (17445843866535).

Almost surely, 2^{100132203313001} is an apocalyptic number.

It is an amenable number.

100132203313001 is a deficient number, since it is larger than the sum of its proper divisors (4542859886209).

100132203313001 is an equidigital number, since it uses as much as digits as its factorization.

100132203313001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189285828615 (or 189285828592 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 100132203313001 its reverse (100313302231001), we get a palindrome (200445505544002).

The spelling of 100132203313001 in words is "one hundred trillion, one hundred thirty-two billion, two hundred three million, three hundred thirteen thousand, one".