13107211200 has 252 divisors, whose sum is σ = 48194076840. Its totient is φ = 3374622720.

The previous prime is 13107211177. The next prime is 13107211241. The reversal of 13107211200 is 211270131.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 401907 + ... + 433293.

Almost surely, 2^13107211200 is an apocalyptic number.

13107211200 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 13107211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24097038420).

13107211200 is an abundant number, since it is smaller than the sum of its proper divisors (35086865640).

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

13107211200 is a wasteful number, since it uses less digits than its factorization.

13107211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31444 (or 31426 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 13107211200 its reverse (211270131), we get a palindrome (13318481331).

The spelling of 13107211200 in words is "thirteen billion, one hundred seven million, two hundred eleven thousand, two hundred".