2013020200000 has 84 divisors (see below), whose sum is σ = 4992914628324. Its totient is φ = 805208000000.

The previous prime is 2013020199991. The next prime is 2013020200021. The reversal of 2013020200000 is 20203102.

It can be written as a sum of positive squares in 6 ways, for example, as 1351322551296 + 661697648704 = 1162464^2 + 813448^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2013020200000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4832551 + ... + 5232550.

It is an arithmetic number, because the mean of its divisors is an integer number (59439459861).

Almost surely, 2^{2013020200000} is an apocalyptic number.

2013020200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013020200000 is an abundant number, since it is smaller than the sum of its proper divisors (2979894428324).

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

2013020200000 is an frugal number, since it uses more digits than its factorization.

2013020200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10065138 (or 10065108 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 2013020200000 its reverse (20203102), we get a palindrome (2013040403102).

The spelling of 2013020200000 in words is "two trillion, thirteen billion, twenty million, two hundred thousand".