100113221231331 has 64 divisors (see below), whose sum is σ = 170544399492096. Its totient is φ = 50719554201600.

The previous prime is 100113221231329. The next prime is 100113221231399. The reversal of 100113221231331 is 133132122311001.

It is not a de Polignac number, because 100113221231331 - 2¹ = 100113221231329 is a prime.

It is a super-2 number, since 2×100113221231331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100113221231131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23542815 + ... + 27467991.

It is an arithmetic number, because the mean of its divisors is an integer number (2664756242064).

Almost surely, 2^{100113221231331} is an apocalyptic number.

100113221231331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100113221231331 is a deficient number, since it is larger than the sum of its proper divisors (70431178260765).

100113221231331 is a wasteful number, since it uses less digits than its factorization.

100113221231331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927932.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 100113221231331 its reverse (133132122311001), we get a palindrome (233245343542332).

The spelling of 100113221231331 in words is "one hundred trillion, one hundred thirteen billion, two hundred twenty-one million, two hundred thirty-one thousand, three hundred thirty-one".