100113032001331 has 8 divisors (see below), whose sum is σ = 104487760802304. Its totient is φ = 95740135557000.

The previous prime is 100113032001223. The next prime is 100113032001419. The reversal of 100113032001331 is 133100230311001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100113032001331 - 2⁹ = 100113032000819 is a prime.

It is a super-2 number, since 2×100113032001331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100113032001299 and 100113032001308.

It is not an unprimeable number, because it can be changed into a prime (100113032002331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457977501 + ... + 458196046.

It is an arithmetic number, because the mean of its divisors is an integer number (13060970100288).

Almost surely, 2^{100113032001331} is an apocalyptic number.

100113032001331 is a deficient number, since it is larger than the sum of its proper divisors (4374728800973).

100113032001331 is an equidigital number, since it uses as much as digits as its factorization.

100113032001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916178321.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 100113032001331 its reverse (133100230311001), we get a palindrome (233213262312332).

The spelling of 100113032001331 in words is "one hundred trillion, one hundred thirteen billion, thirty-two million, one thousand, three hundred thirty-one".