13128500 has 144 divisors (see below), whose sum is σ = 37180416. Its totient is φ = 3960000.

The previous prime is 13128499. The next prime is 13128517. The reversal of 13128500 is 582131.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 423485 + ... + 423515.

Almost surely, 2^13128500 is an apocalyptic number.

13128500 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 13128500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18590208).

13128500 is an abundant number, since it is smaller than the sum of its proper divisors (24051916).

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

13128500 is a wasteful number, since it uses less digits than its factorization.

13128500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 13128500 is about 3623.3272002401. The cubic root of 13128500 is about 235.9056646811.

The spelling of 13128500 in words is "thirteen million, one hundred twenty-eight thousand, five hundred".