13389300 has 216 divisors, whose sum is σ = 47392800. Its totient is φ = 3265920.

The previous prime is 13389293. The next prime is 13389307. The reversal of 13389300 is 398331.

It is an interprime number because it is at equal distance from previous prime (13389293) and next prime (13389307).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13389307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 461686 + ... + 461714.

Almost surely, 2^13389300 is an apocalyptic number.

13389300 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 13389300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23696400).

13389300 is an abundant number, since it is smaller than the sum of its proper divisors (34003500).

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

13389300 is a wasteful number, since it uses less digits than its factorization.

13389300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13389300 is about 3659.1392430461. The cubic root of 13389300 is about 237.4575362678.

It can be divided in two parts, 13389 and 300, that added together give a square (13689 = 117²).

The spelling of 13389300 in words is "thirteen million, three hundred eighty-nine thousand, three hundred".