13100311200 has 288 divisors, whose sum is σ = 44369785152. Its totient is φ = 3354624000.

The previous prime is 13100311187. The next prime is 13100311241. The reversal of 13100311200 is 211300131.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 6294160 + ... + 6296240.

It is an arithmetic number, because the mean of its divisors is an integer number (154061754).

Almost surely, 2^13100311200 is an apocalyptic number.

13100311200 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 13100311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22184892576).

13100311200 is an abundant number, since it is smaller than the sum of its proper divisors (31269473952).

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

13100311200 is a wasteful number, since it uses less digits than its factorization.

13100311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13100311200 its reverse (211300131), we get a palindrome (13311611331).

The spelling of 13100311200 in words is "thirteen billion, one hundred million, three hundred eleven thousand, two hundred".