332213312101113 has 12 divisors (see below), whose sum is σ = 488917704602340. Its totient is φ = 217296757600416.

The previous prime is 332213312101093. The next prime is 332213312101241. The reversal of 332213312101113 is 311101213312233.

332213312101113 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 1 + 331 + 210 + 1 + 113 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 160366461033744 + 171846851067369 = 12663588^2 + 13109037^2 .

It is not a de Polignac number, because 332213312101113 - 2²⁰ = 332213311052537 is a prime.

It is a super-2 number, since 2×332213312101113² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332213312101813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348231982858 + ... + 348231983811.

It is an arithmetic number, because the mean of its divisors is an integer number (40743142050195).

Almost surely, 2^{332213312101113} is an apocalyptic number.

It is an amenable number.

332213312101113 is a deficient number, since it is larger than the sum of its proper divisors (156704392501227).

332213312101113 is a wasteful number, since it uses less digits than its factorization.

332213312101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696463966728 (or 696463966725 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 332213312101113 its reverse (311101213312233), we get a palindrome (643314525413346).

The spelling of 332213312101113 in words is "three hundred thirty-two trillion, two hundred thirteen billion, three hundred twelve million, one hundred one thousand, one hundred thirteen".