13100287200 has 1728 divisors, whose sum is σ = 62838478080. Its totient is φ = 2322432000.

The previous prime is 13100287139. The next prime is 13100287223. The reversal of 13100287200 is 278200131.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 319519180 + ... + 319519220.

It is an arithmetic number, because the mean of its divisors is an integer number (36364860).

Almost surely, 2^13100287200 is an apocalyptic number.

13100287200 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 13100287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31419239040).

13100287200 is an abundant number, since it is smaller than the sum of its proper divisors (49738190880).

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

13100287200 is a wasteful number, since it uses less digits than its factorization.

13100287200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 13100287200 its reverse (278200131), we get a palindrome (13378487331).

The spelling of 13100287200 in words is "thirteen billion, one hundred million, two hundred eighty-seven thousand, two hundred".