2013001020120 has 128 divisors (see below), whose sum is σ = 6332824036800. Its totient is φ = 511189991424.

The previous prime is 2013001020097. The next prime is 2013001020127. The reversal of 2013001020120 is 210201003102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2013001020096 and 2013001020105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013001020127) 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, 3707937 + ... + 4216016.

Almost surely, 2^{2013001020120} is an apocalyptic number.

2013001020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013001020120 is an abundant number, since it is smaller than the sum of its proper divisors (4319823016680).

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

2013001020120 is a wasteful number, since it uses less digits than its factorization.

2013001020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7924069 (or 7924065 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2013001020120 its reverse (210201003102), we get a palindrome (2223202023222).

The spelling of 2013001020120 in words is "two trillion, thirteen billion, one million, twenty thousand, one hundred twenty".