2013331342120 has 128 divisors (see below), whose sum is σ = 5462569209600. Its totient is φ = 652400179200.

The previous prime is 2013331342103. The next prime is 2013331342147. The reversal of 2013331342120 is 212431333102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1790260 + ... + 2689180.

It is an arithmetic number, because the mean of its divisors is an integer number (42676321950).

Almost surely, 2^{2013331342120} is an apocalyptic number.

2013331342120 is a gapful number since it is divisible by the number (20) 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 2013331342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731284604800).

2013331342120 is an abundant number, since it is smaller than the sum of its proper divisors (3449237867480).

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

2013331342120 is a wasteful number, since it uses less digits than its factorization.

2013331342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899379 (or 899375 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2013331342120 its reverse (212431333102), we get a palindrome (2225762675222).

The spelling of 2013331342120 in words is "two trillion, thirteen billion, three hundred thirty-one million, three hundred forty-two thousand, one hundred twenty".