13101122131200 has 432 divisors, whose sum is σ = 48335311272640. Its totient is φ = 3472191774720.

The previous prime is 13101122131057. The next prime is 13101122131241. The reversal of 13101122131200 is 213122110131.

13101122131200 is a `hidden beast` number, since 1 + 310 + 1 + 1 + 22 + 131 + 200 = 666.

13101122131200 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 (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27933834 + ... + 28398966.

Almost surely, 2^{13101122131200} is an apocalyptic number.

13101122131200 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 13101122131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24167655636320).

13101122131200 is an abundant number, since it is smaller than the sum of its proper divisors (35234189141440).

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

13101122131200 is a wasteful number, since it uses less digits than its factorization.

13101122131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465331 (or 465306 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13101122131200 its reverse (213122110131), we get a palindrome (13314244241331).

The spelling of 13101122131200 in words is "thirteen trillion, one hundred one billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred".