100123001331 has 16 divisors (see below), whose sum is σ = 144321446400. Its totient is φ = 61526508768.

The previous prime is 100123001221. The next prime is 100123001339. The reversal of 100123001331 is 133100321001.

It is not a de Polignac number, because 100123001331 - 2¹⁵ = 100122968563 is a prime.

It is a super-2 number, since 2×100123001331² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100123001331.

It is not an unprimeable number, because it can be changed into a prime (100123001339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23734971 + ... + 23739188.

It is an arithmetic number, because the mean of its divisors is an integer number (9020090400).

Almost surely, 2^100123001331 is an apocalyptic number.

100123001331 is a deficient number, since it is larger than the sum of its proper divisors (44198445069).

100123001331 is a wasteful number, since it uses less digits than its factorization.

100123001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47474218.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100123001331 its reverse (133100321001), we get a palindrome (233223322332).

The spelling of 100123001331 in words is "one hundred billion, one hundred twenty-three million, one thousand, three hundred thirty-one".