100231121313 has 24 divisors (see below), whose sum is σ = 146399177288. Its totient is φ = 66073853952.

The previous prime is 100231121233. The next prime is 100231121323. The reversal of 100231121313 is 313121132001.

100231121313 is a `hidden beast` number, since 1 + 0 + 0 + 231 + 121 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42636881169 + 57594240144 = 206487^2 + 239988^2 .

It is not a de Polignac number, because 100231121313 - 2¹⁴ = 100231104929 is a prime.

It is a super-2 number, since 2×100231121313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100231121323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956781 + ... + 1056357.

Almost surely, 2^100231121313 is an apocalyptic number.

It is an amenable number.

100231121313 is a deficient number, since it is larger than the sum of its proper divisors (46168055975).

100231121313 is a wasteful number, since it uses less digits than its factorization.

100231121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100833 (or 100830 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100231121313 its reverse (313121132001), we get a palindrome (413352253314).

The spelling of 100231121313 in words is "one hundred billion, two hundred thirty-one million, one hundred twenty-one thousand, three hundred thirteen".