13801830120 has 384 divisors, whose sum is σ = 52250365440. Its totient is φ = 3128647680.

The previous prime is 13801830101. The next prime is 13801830131. The reversal of 13801830120 is 2103810831.

It is a super-2 number, since 2×13801830120² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3737475 + ... + 3741165.

It is an arithmetic number, because the mean of its divisors is an integer number (136068660).

Almost surely, 2^13801830120 is an apocalyptic number.

13801830120 is a gapful number since it is divisible by the number (10) 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 13801830120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26125182720).

13801830120 is an abundant number, since it is smaller than the sum of its proper divisors (38448535320).

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

13801830120 is a wasteful number, since it uses less digits than its factorization.

13801830120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 13801830120 in words is "thirteen billion, eight hundred one million, eight hundred thirty thousand, one hundred twenty".