13313211200 has 84 divisors (see below), whose sum is σ = 33096925932. Its totient is φ = 5270323200.

The previous prime is 13313211181. The next prime is 13313211269. The reversal of 13313211200 is 211231331.

It can be written as a sum of positive squares in 6 ways, for example, as 95570176 + 13217641024 = 9776^2 + 114968^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112310 + ... + 198090.

It is an arithmetic number, because the mean of its divisors is an integer number (394011023).

Almost surely, 2^13313211200 is an apocalyptic number.

13313211200 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 13313211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16548462966).

13313211200 is an abundant number, since it is smaller than the sum of its proper divisors (19783714732).

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

13313211200 is an equidigital number, since it uses as much as digits as its factorization.

13313211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85900 (or 85885 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13313211200 its reverse (211231331), we get a palindrome (13524442531).

The spelling of 13313211200 in words is "thirteen billion, three hundred thirteen million, two hundred eleven thousand, two hundred".