13376262201120 has 2160 divisors, whose sum is σ = 62060267586240. Its totient is φ = 2699039895552.

The previous prime is 13376262201109. The next prime is 13376262201151. The reversal of 13376262201120 is 2110226267331.

13376262201120 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 6 + 2 + 622 + 0 + 1 + 1 + 20 = 666.

13376262201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×13376262201120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2468397771 + ... + 2468403189.

It is an arithmetic number, because the mean of its divisors is an integer number (28731605364).

Almost surely, 2^{13376262201120} is an apocalyptic number.

13376262201120 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 13376262201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31030133793120).

13376262201120 is an abundant number, since it is smaller than the sum of its proper divisors (48684005385120).

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

13376262201120 is a wasteful number, since it uses less digits than its factorization.

13376262201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5509 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 13376262201120 its reverse (2110226267331), we get a palindrome (15486488468451).

The spelling of 13376262201120 in words is "thirteen trillion, three hundred seventy-six billion, two hundred sixty-two million, two hundred one thousand, one hundred twenty".