321013303121133 has 32 divisors (see below), whose sum is σ = 543607323275520. Its totient is φ = 183404874818880.

The previous prime is 321013303121113. The next prime is 321013303121179. The reversal of 321013303121133 is 331121303310123.

321013303121133 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 1 + 330 + 312 + 1 + 13 + 3 = 666.

It is not a de Polignac number, because 321013303121133 - 2⁵ = 321013303121101 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 321013303121097 and 321013303121106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321013303121113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143789310 + ... + 146004767.

It is an arithmetic number, because the mean of its divisors is an integer number (16987728852360).

Almost surely, 2^{321013303121133} is an apocalyptic number.

It is an amenable number.

321013303121133 is a deficient number, since it is larger than the sum of its proper divisors (222594020154387).

321013303121133 is a wasteful number, since it uses less digits than its factorization.

321013303121133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289799954 (or 289799948 counting only the distinct ones).

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

Adding to 321013303121133 its reverse (331121303310123), we get a palindrome (652134606431256).

The spelling of 321013303121133 in words is "three hundred twenty-one trillion, thirteen billion, three hundred three million, one hundred twenty-one thousand, one hundred thirty-three".