232101100313 has 12 divisors (see below), whose sum is σ = 234259793460. Its totient is φ = 229961797632.

The previous prime is 232101100267. The next prime is 232101100369. The reversal of 232101100313 is 313001101232.

232101100313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 139507479049 + 92593621264 = 373507^2 + 304292^2 .

It is not a de Polignac number, because 232101100313 - 2⁸ = 232101100057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232101100291 and 232101100300.

It is not an unprimeable number, because it can be changed into a prime (232101100513) 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 11 ways as a sum of consecutive naturals, for example, 12393845 + ... + 12412557.

It is an arithmetic number, because the mean of its divisors is an integer number (19521649455).

Almost surely, 2^232101100313 is an apocalyptic number.

It is an amenable number.

232101100313 is a deficient number, since it is larger than the sum of its proper divisors (2158693147).

232101100313 is an equidigital number, since it uses as much as digits as its factorization.

232101100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19736 (or 19609 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 232101100313 its reverse (313001101232), we get a palindrome (545102201545).

The spelling of 232101100313 in words is "two hundred thirty-two billion, one hundred one million, one hundred thousand, three hundred thirteen".