100113221231131 has 2 divisors, whose sum is σ = 100113221231132. Its totient is φ = 100113221231130.

The previous prime is 100113221231113. The next prime is 100113221231143. The reversal of 100113221231131 is 131132122311001.

Together with previous prime (100113221231113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100113221231131 - 2⁵ = 100113221231099 is a prime.

It is a super-2 number, since 2×100113221231131² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100113221231161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056610615565 + 50056610615566.

It is an arithmetic number, because the mean of its divisors is an integer number (50056610615566).

Almost surely, 2^{100113221231131} is an apocalyptic number.

100113221231131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113221231131 is an equidigital number, since it uses as much as digits as its factorization.

100113221231131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 100113221231131 its reverse (131132122311001), we get a palindrome (231245343542132).

The spelling of 100113221231131 in words is "one hundred trillion, one hundred thirteen billion, two hundred twenty-one million, two hundred thirty-one thousand, one hundred thirty-one".