320021131002133 has 32 divisors (see below), whose sum is σ = 350471457123840. Its totient is φ = 289799460624960.

The previous prime is 320021131002107. The next prime is 320021131002203. The reversal of 320021131002133 is 331200131120023.

It is not a de Polignac number, because 320021131002133 - 2²⁹ = 320020594131221 is a prime.

It is a super-3 number, since 3×320021131002133³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320021131002533) 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, 16147178698 + ... + 16147198516.

It is an arithmetic number, because the mean of its divisors is an integer number (10952233035120).

Almost surely, 2^{320021131002133} is an apocalyptic number.

It is an amenable number.

320021131002133 is a deficient number, since it is larger than the sum of its proper divisors (30450326121707).

320021131002133 is a wasteful number, since it uses less digits than its factorization.

320021131002133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25617.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 320021131002133 its reverse (331200131120023), we get a palindrome (651221262122156).

The spelling of 320021131002133 in words is "three hundred twenty trillion, twenty-one billion, one hundred thirty-one million, two thousand, one hundred thirty-three".