213332301311301 has 64 divisors (see below), whose sum is σ = 323616721858560. Its totient is φ = 138831660201600.

The previous prime is 213332301311293. The next prime is 213332301311347. The reversal of 213332301311301 is 103113103233312.

213332301311301 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 323 + 0 + 1 + 31 + 1 + 301 = 666.

It is not a de Polignac number, because 213332301311301 - 2³ = 213332301311293 is a prime.

It is a super-2 number, since 2×213332301311301² (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213332301311501) 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 63 ways as a sum of consecutive naturals, for example, 1266351126 + ... + 1266519576.

It is an arithmetic number, because the mean of its divisors is an integer number (5056511279040).

Almost surely, 2^{213332301311301} is an apocalyptic number.

It is an amenable number.

213332301311301 is a deficient number, since it is larger than the sum of its proper divisors (110284420547259).

213332301311301 is a wasteful number, since it uses less digits than its factorization.

213332301311301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171111 (or 171105 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 213332301311301 its reverse (103113103233312), we get a palindrome (316445404544613).

The spelling of 213332301311301 in words is "two hundred thirteen trillion, three hundred thirty-two billion, three hundred one million, three hundred eleven thousand, three hundred one".