13113781200 has 960 divisors, whose sum is σ = 54556508160. Its totient is φ = 2965248000.

The previous prime is 13113781199. The next prime is 13113781253. The reversal of 13113781200 is 218731131.

It is a happy number.

It is a super-2 number, since 2×13113781200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100105135 + ... + 100105265.

It is an arithmetic number, because the mean of its divisors is an integer number (56829696).

Almost surely, 2^13113781200 is an apocalyptic number.

13113781200 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 13113781200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27278254080).

13113781200 is an abundant number, since it is smaller than the sum of its proper divisors (41442726960).

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

13113781200 is a wasteful number, since it uses less digits than its factorization.

13113781200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 13113781200 in words is "thirteen billion, one hundred thirteen million, seven hundred eighty-one thousand, two hundred".