2013202101000 has 256 divisors, whose sum is σ = 6730815087360. Its totient is φ = 499185561600.

The previous prime is 2013202100971. The next prime is 2013202101019. The reversal of 2013202101000 is 1012023102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3995202 + ... + 4470798.

It is an arithmetic number, because the mean of its divisors is an integer number (26292246435).

Almost surely, 2^{2013202101000} is an apocalyptic number.

2013202101000 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 2013202101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365407543680).

2013202101000 is an abundant number, since it is smaller than the sum of its proper divisors (4717612986360).

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

2013202101000 is a wasteful number, since it uses less digits than its factorization.

2013202101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475721 (or 475707 counting only the distinct ones).

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

Adding to 2013202101000 its reverse (1012023102), we get a palindrome (2014214124102).

The spelling of 2013202101000 in words is "two trillion, thirteen billion, two hundred two million, one hundred one thousand".