20013013120 has 256 divisors, whose sum is σ = 51819264000. Its totient is φ = 7368192000.

The previous prime is 20013013117. The next prime is 20013013121. The reversal of 20013013120 is 2131031002.

It is a self number, because there is not a number n which added to its sum of digits gives 20013013120.

It is not an unprimeable number, because it can be changed into a prime (20013013121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79732995 + ... + 79733245.

It is an arithmetic number, because the mean of its divisors is an integer number (202419000).

Almost surely, 2^20013013120 is an apocalyptic number.

20013013120 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 20013013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25909632000).

20013013120 is an abundant number, since it is smaller than the sum of its proper divisors (31806250880).

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

20013013120 is a wasteful number, since it uses less digits than its factorization.

20013013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 20013013120 its reverse (2131031002), we get a palindrome (22144044122).

The spelling of 20013013120 in words is "twenty billion, thirteen million, thirteen thousand, one hundred twenty".