13341283200 has 1344 divisors, whose sum is σ = 60826761600. Its totient is φ = 2821754880.

The previous prime is 13341283159. The next prime is 13341283211. The reversal of 13341283200 is 238214331.

13341283200 is a `hidden beast` number, since 1 + 334 + 1 + 2 + 8 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×13341283200³ (a number of 31 digits) contains 333 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 167 ways as a sum of consecutive naturals, for example, 310262379 + ... + 310262421.

Almost surely, 2^13341283200 is an apocalyptic number.

13341283200 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 13341283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30413380800).

13341283200 is an abundant number, since it is smaller than the sum of its proper divisors (47485478400).

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

13341283200 is an equidigital number, since it uses as much as digits as its factorization.

13341283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13341283200 its reverse (238214331), we get a palindrome (13579497531).

It can be divided in two parts, 133412 and 83200, that added together give a palindrome (216612).

The spelling of 13341283200 in words is "thirteen billion, three hundred forty-one million, two hundred eighty-three thousand, two hundred".