13201481014400 has 384 divisors, whose sum is σ = 37573712092800. Its totient is φ = 4489564815360.

The previous prime is 13201481014399. The next prime is 13201481014409. The reversal of 13201481014400 is 441018410231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13201481014409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1403960099 + ... + 1403969501.

It is an arithmetic number, because the mean of its divisors is an integer number (97848208575).

Almost surely, 2^{13201481014400} is an apocalyptic number.

13201481014400 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 13201481014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18786856046400).

13201481014400 is an abundant number, since it is smaller than the sum of its proper divisors (24372231078400).

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

13201481014400 is a wasteful number, since it uses less digits than its factorization.

13201481014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9936 (or 9919 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 13201481014400 its reverse (441018410231), we get a palindrome (13642499424631).

The spelling of 13201481014400 in words is "thirteen trillion, two hundred one billion, four hundred eighty-one million, fourteen thousand, four hundred".