20130013120 has 112 divisors (see below), whose sum is σ = 56056670208. Its totient is φ = 6741181440.

The previous prime is 20130013109. The next prime is 20130013121. The reversal of 20130013120 is 2131003102.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×20130013120² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20130013120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130013121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8176 + ... + 200815.

It is an arithmetic number, because the mean of its divisors is an integer number (500505984).

Almost surely, 2^20130013120 is an apocalyptic number.

20130013120 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 20130013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28028335104).

20130013120 is an abundant number, since it is smaller than the sum of its proper divisors (35926657088).

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

20130013120 is a wasteful number, since it uses less digits than its factorization.

20130013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209058 (or 209048 counting only the distinct ones).

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

Adding to 20130013120 its reverse (2131003102), we get a palindrome (22261016222).

The spelling of 20130013120 in words is "twenty billion, one hundred thirty million, thirteen thousand, one hundred twenty".