13201137600 has 336 divisors, whose sum is σ = 50654638848. Its totient is φ = 2946908160.

The previous prime is 13201137577. The next prime is 13201137637. The reversal of 13201137600 is 673110231.

13201137600 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 (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1440232 + ... + 1449368.

Almost surely, 2^13201137600 is an apocalyptic number.

13201137600 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 13201137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25327319424).

13201137600 is an abundant number, since it is smaller than the sum of its proper divisors (37453501248).

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

13201137600 is a wasteful number, since it uses less digits than its factorization.

13201137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9212 (or 9197 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

Adding to 13201137600 its reverse (673110231), we get a palindrome (13874247831).

The spelling of 13201137600 in words is "thirteen billion, two hundred one million, one hundred thirty-seven thousand, six hundred".