332033121200313 has 32 divisors (see below), whose sum is σ = 544056735152000. Its totient is φ = 198805694182848.

The previous prime is 332033121200311. The next prime is 332033121200329. The reversal of 332033121200313 is 313002121330233.

332033121200313 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 331 + 2 + 12 + 0 + 0 + 313 = 666.

It is not a de Polignac number, because 332033121200313 - 2¹ = 332033121200311 is a prime.

It is a super-2 number, since 2×332033121200313² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332033121200311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12783274963 + ... + 12783300936.

It is an arithmetic number, because the mean of its divisors is an integer number (17001772973500).

Almost surely, 2^{332033121200313} is an apocalyptic number.

It is an amenable number.

332033121200313 is a deficient number, since it is larger than the sum of its proper divisors (212023613951687).

332033121200313 is a wasteful number, since it uses less digits than its factorization.

332033121200313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25566575958 (or 25566575952 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 332033121200313 its reverse (313002121330233), we get a palindrome (645035242530546).

The spelling of 332033121200313 in words is "three hundred thirty-two trillion, thirty-three billion, one hundred twenty-one million, two hundred thousand, three hundred thirteen".