332101100313 has 24 divisors (see below), whose sum is σ = 487610217536. Its totient is φ = 217751263200.

The previous prime is 332101100257. The next prime is 332101100327. The reversal of 332101100313 is 313001101233.

It is a happy number.

332101100313 is a `hidden beast` number, since 33 + 210 + 110 + 0 + 313 = 666.

It is not a de Polignac number, because 332101100313 - 2⁶ = 332101100249 is a prime.

It is a super-2 number, since 2×332101100313² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332101100333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8185668 + ... + 8226138.

Almost surely, 2^332101100313 is an apocalyptic number.

It is an amenable number.

332101100313 is a deficient number, since it is larger than the sum of its proper divisors (155509117223).

332101100313 is a wasteful number, since it uses less digits than its factorization.

332101100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55485 (or 55482 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 332101100313 its reverse (313001101233), we get a palindrome (645102201546).

The spelling of 332101100313 in words is "three hundred thirty-two billion, one hundred one million, one hundred thousand, three hundred thirteen".