13133400 has 192 divisors, whose sum is σ = 48211200. Its totient is φ = 2895360.

The previous prime is 13133383. The next prime is 13133411. The reversal of 13133400 is 433131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13133400.

It is a congruent number.

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, 222571 + ... + 222629.

It is an arithmetic number, because the mean of its divisors is an integer number (251100).

Almost surely, 2^13133400 is an apocalyptic number.

13133400 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 13133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105600).

13133400 is an abundant number, since it is smaller than the sum of its proper divisors (35077800).

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

13133400 is a wasteful number, since it uses less digits than its factorization.

13133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 13133400 is about 3624.0033112568. The cubic root of 13133400 is about 235.9350103534.

Adding to 13133400 its reverse (433131), we get a palindrome (13566531).

The spelling of 13133400 in words is "thirteen million, one hundred thirty-three thousand, four hundred".