321013002133120 has 128 divisors (see below), whose sum is σ = 837252851604480. Its totient is φ = 116722863206400.

The previous prime is 321013002133093. The next prime is 321013002133171. The reversal of 321013002133120 is 21331200310123.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 321013002133091 and 321013002133100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88481569 + ... + 92038111.

It is an arithmetic number, because the mean of its divisors is an integer number (6541037903160).

Almost surely, 2^{321013002133120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321013002133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418626425802240).

321013002133120 is an abundant number, since it is smaller than the sum of its proper divisors (516239849471360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321013002133120 is a wasteful number, since it uses less digits than its factorization.

321013002133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569394 (or 3569382 counting only the distinct ones).

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

Adding to 321013002133120 its reverse (21331200310123), we get a palindrome (342344202443243).

The spelling of 321013002133120 in words is "three hundred twenty-one trillion, thirteen billion, two million, one hundred thirty-three thousand, one hundred twenty".