213332120001 has 96 divisors (see below), whose sum is σ = 424917712128. Its totient is φ = 99532177920.

The previous prime is 213332119981. The next prime is 213332120033. The reversal of 213332120001 is 100021233312.

213332120001 is a `hidden beast` number, since 213 + 332 + 120 + 0 + 0 + 1 = 666.

213332120001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213332120001 - 2¹⁷ = 213331988929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213332120051) 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 95 ways as a sum of consecutive naturals, for example, 13335 + ... + 653331.

It is an arithmetic number, because the mean of its divisors is an integer number (4426226168).

Almost surely, 2^213332120001 is an apocalyptic number.

213332120001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213332120001 is a deficient number, since it is larger than the sum of its proper divisors (211585592127).

213332120001 is a wasteful number, since it uses less digits than its factorization.

213332120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640071 (or 640068 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213332120001 its reverse (100021233312), we get a palindrome (313353353313).

It can be divided in two parts, 213332 and 120001, that added together give a palindrome (333333).

The spelling of 213332120001 in words is "two hundred thirteen billion, three hundred thirty-two million, one hundred twenty thousand, one".