20130200013144 has 256 divisors, whose sum is σ = 57507669273600. Its totient is φ = 5824694937600.

The previous prime is 20130200013127. The next prime is 20130200013149. The reversal of 20130200013144 is 44131000203102.

It is a self number, because there is not a number n which added to its sum of digits gives 20130200013144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130200013149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1023854674 + ... + 1023874334.

It is an arithmetic number, because the mean of its divisors is an integer number (224639333100).

Almost surely, 2^{20130200013144} is an apocalyptic number.

20130200013144 is a gapful number since it is divisible by the number (24) 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 20130200013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28753834636800).

20130200013144 is an abundant number, since it is smaller than the sum of its proper divisors (37377469260456).

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

20130200013144 is a wasteful number, since it uses less digits than its factorization.

20130200013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22106 (or 22102 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20130200013144 its reverse (44131000203102), we get a palindrome (64261200216246).

The spelling of 20130200013144 in words is "twenty trillion, one hundred thirty billion, two hundred million, thirteen thousand, one hundred forty-four".