13052100 has 72 divisors (see below), whose sum is σ = 38157280. Its totient is φ = 3444480.

The previous prime is 13052093. The next prime is 13052101. The reversal of 13052100 is 125031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13052101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41544 + ... + 41856.

Almost surely, 2^13052100 is an apocalyptic number.

13052100 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 13052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19078640).

13052100 is an abundant number, since it is smaller than the sum of its proper divisors (25105180).

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

13052100 is a wasteful number, since it uses less digits than its factorization.

13052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 13052100 is about 3612.7690211249. The cubic root of 13052100 is about 235.4471642776.

Adding to 13052100 its reverse (125031), we get a palindrome (13177131).

The spelling of 13052100 in words is "thirteen million, fifty-two thousand, one hundred".