3013132221120 has 448 divisors, whose sum is σ = 11040788054016. Its totient is φ = 681970544640.

The previous prime is 3013132221109. The next prime is 3013132221133. The reversal of 3013132221120 is 211222313103.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480483585 + ... + 480489855.

It is an arithmetic number, because the mean of its divisors is an integer number (24644616192).

Almost surely, 2^{3013132221120} is an apocalyptic number.

3013132221120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013132221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520394027008).

3013132221120 is an abundant number, since it is smaller than the sum of its proper divisors (8027655832896).

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

3013132221120 is a wasteful number, since it uses less digits than its factorization.

3013132221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6988 (or 6978 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 3013132221120 its reverse (211222313103), we get a palindrome (3224354534223).

The spelling of 3013132221120 in words is "three trillion, thirteen billion, one hundred thirty-two million, two hundred twenty-one thousand, one hundred twenty".