2013301333120 has 128 divisors (see below), whose sum is σ = 6000683990400. Its totient is φ = 627522478080.

The previous prime is 2013301333117. The next prime is 2013301333193. The reversal of 2013301333120 is 213331033102.

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 = 2013301333091 and 2013301333100.

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, 20377885 + ... + 20476444.

It is an arithmetic number, because the mean of its divisors is an integer number (46880343675).

Almost surely, 2^{2013301333120} is an apocalyptic number.

2013301333120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013301333120 is an abundant number, since it is smaller than the sum of its proper divisors (3987382657280).

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

2013301333120 is a wasteful number, since it uses less digits than its factorization.

2013301333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40854366 (or 40854354 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 2013301333120 its reverse (213331033102), we get a palindrome (2226632366222).

The spelling of 2013301333120 in words is "two trillion, thirteen billion, three hundred one million, three hundred thirty-three thousand, one hundred twenty".