13313300 has 216 divisors, whose sum is σ = 41559840. Its totient is φ = 3628800.

The previous prime is 13313269. The next prime is 13313309. The reversal of 13313300 is 331331.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313309) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 700691 + ... + 700709.

Almost surely, 2^13313300 is an apocalyptic number.

13313300 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 13313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779920).

13313300 is an abundant number, since it is smaller than the sum of its proper divisors (28246540).

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

13313300 is a wasteful number, since it uses less digits than its factorization.

13313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 13313300 is about 3648.7395083782. The cubic root of 13313300 is about 237.0074000550.

Adding to 13313300 its reverse (331331), we get a palindrome (13644631).

It can be divided in two parts, 133 and 13300, that multiplied together give a square (1768900 = 1330²).

The spelling of 13313300 in words is "thirteen million, three hundred thirteen thousand, three hundred".