13301131200 has 336 divisors, whose sum is σ = 50116435200. Its totient is φ = 3025428480.

The previous prime is 13301131189. The next prime is 13301131231. The reversal of 13301131200 is 213110331.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×13301131200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13301131200.

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, 7827951 + ... + 7829649.

Almost surely, 2^13301131200 is an apocalyptic number.

13301131200 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 13301131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25058217600).

13301131200 is an abundant number, since it is smaller than the sum of its proper divisors (36815304000).

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

13301131200 is a wasteful number, since it uses less digits than its factorization.

13301131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13301131200 its reverse (213110331), we get a palindrome (13514241531).

The spelling of 13301131200 in words is "thirteen billion, three hundred one million, one hundred thirty-one thousand, two hundred".