2013022330000 has 200 divisors, whose sum is σ = 5547966532416. Its totient is φ = 700180800000.

The previous prime is 2013022329971. The next prime is 2013022330019. The reversal of 2013022330000 is 332203102.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2132170 + ... + 2927830.

Almost surely, 2^{2013022330000} is an apocalyptic number.

2013022330000 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 2013022330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773983266208).

2013022330000 is an abundant number, since it is smaller than the sum of its proper divisors (3534944202416).

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

2013022330000 is a wasteful number, since it uses less digits than its factorization.

2013022330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795723 (or 795702 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 2013022330000 its reverse (332203102), we get a palindrome (2013354533102).

The spelling of 2013022330000 in words is "two trillion, thirteen billion, twenty-two million, three hundred thirty thousand".