13007100 has 72 divisors (see below), whose sum is σ = 37997568. Its totient is φ = 3435200.

The previous prime is 13007087. The next prime is 13007119. The reversal of 13007100 is 170031.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57187 + ... + 57413.

It is an arithmetic number, because the mean of its divisors is an integer number (527744).

Almost surely, 2^13007100 is an apocalyptic number.

13007100 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 13007100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998784).

13007100 is an abundant number, since it is smaller than the sum of its proper divisors (24990468).

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

13007100 is a wasteful number, since it uses less digits than its factorization.

13007100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 13007100 is about 3606.5357339142. The cubic root of 13007100 is about 235.1762673309.

Adding to 13007100 its reverse (170031), we get a palindrome (13177131).

The spelling of 13007100 in words is "thirteen million, seven thousand, one hundred".