13321131001200 has 720 divisors, whose sum is σ = 51861187862016. Its totient is φ = 3137983027200.

The previous prime is 13321131001169. The next prime is 13321131001207. The reversal of 13321131001200 is 210013112331.

13321131001200 is a `hidden beast` number, since 1 + 332 + 1 + 1 + 310 + 0 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×13321131001200² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321131001207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1205854077 + ... + 1205865123.

Almost surely, 2^{13321131001200} is an apocalyptic number.

13321131001200 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 13321131001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25930593931008).

13321131001200 is an abundant number, since it is smaller than the sum of its proper divisors (38540056860816).

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

13321131001200 is a wasteful number, since it uses less digits than its factorization.

13321131001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11942 (or 11928 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13321131001200 its reverse (210013112331), we get a palindrome (13531144113531).

The spelling of 13321131001200 in words is "thirteen trillion, three hundred twenty-one billion, one hundred thirty-one million, one thousand, two hundred".