100000001331 has 16 divisors (see below), whose sum is σ = 148188134400. Its totient is φ = 66648674664.

The previous prime is 100000001317. The next prime is 100000001347. The reversal of 100000001331 is 133100000001.

It is not a de Polignac number, because 100000001331 - 2⁶ = 100000001267 is a prime.

It is a super-2 number, since 2×100000001331² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100000001831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397531 + ... + 598356.

It is an arithmetic number, because the mean of its divisors is an integer number (9261758400).

Almost surely, 2^100000001331 is an apocalyptic number.

100000001331 is a deficient number, since it is larger than the sum of its proper divisors (48188133069).

100000001331 is an equidigital number, since it uses as much as digits as its factorization.

100000001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999615 (or 999609 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 100000001331 its reverse (133100000001), we get a palindrome (233100001332).

The spelling of 100000001331 in words is "one hundred billion, one thousand, three hundred thirty-one".