321013002131112 has 128 divisors (see below), whose sum is σ = 823325601288960. Its totient is φ = 104239700705280.

The previous prime is 321013002131099. The next prime is 321013002131113. The reversal of 321013002131112 is 211131200310123.

It is not an unprimeable number, because it can be changed into a prime (321013002131113) 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, 6223930668 + ... + 6223982244.

It is an arithmetic number, because the mean of its divisors is an integer number (6432231260070).

Almost surely, 2^{321013002131112} 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 321013002131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411662800644480).

321013002131112 is an abundant number, since it is smaller than the sum of its proper divisors (502312599157848).

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

321013002131112 is a wasteful number, since it uses less digits than its factorization.

321013002131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60883 (or 60879 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 321013002131112 its reverse (211131200310123), we get a palindrome (532144202441235).

The spelling of 321013002131112 in words is "three hundred twenty-one trillion, thirteen billion, two million, one hundred thirty-one thousand, one hundred twelve".