2013202112000 has 160 divisors (see below), whose sum is σ = 5021935611264. Its totient is φ = 804977664000.

The previous prime is 2013202111927. The next prime is 2013202112011. The reversal of 2013202112000 is 2112023102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2013202112000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 257340089 + ... + 257347911.

Almost surely, 2^{2013202112000} is an apocalyptic number.

2013202112000 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 2013202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510967805632).

2013202112000 is an abundant number, since it is smaller than the sum of its proper divisors (3008733499264).

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

2013202112000 is an frugal number, since it uses more digits than its factorization.

2013202112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11877 (or 11851 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2013202112000 its reverse (2112023102), we get a palindrome (2015314135102).

The spelling of 2013202112000 in words is "two trillion, thirteen billion, two hundred two million, one hundred twelve thousand".