2013013332120 has 128 divisors (see below), whose sum is σ = 6947467453440. Its totient is φ = 457070169600.

The previous prime is 2013013332049. The next prime is 2013013332151. The reversal of 2013013332120 is 212333103102.

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

It is a congruent number.

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, 7808407 + ... + 8062086.

It is an arithmetic number, because the mean of its divisors is an integer number (54277089480).

Almost surely, 2^{2013013332120} is an apocalyptic number.

2013013332120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013013332120 is an abundant number, since it is smaller than the sum of its proper divisors (4934454121320).

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

2013013332120 is a wasteful number, since it uses less digits than its factorization.

2013013332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15870665 (or 15870661 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2013013332120 its reverse (212333103102), we get a palindrome (2225346435222).

The spelling of 2013013332120 in words is "two trillion, thirteen billion, thirteen million, three hundred thirty-two thousand, one hundred twenty".