13047100 has 72 divisors (see below), whose sum is σ = 32029200. Its totient is φ = 4569600.

The previous prime is 13047077. The next prime is 13047101. The reversal of 13047100 is 174031.

13047100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13047100³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13047101) 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, 31696 + ... + 32104.

It is an arithmetic number, because the mean of its divisors is an integer number (444850).

Almost surely, 2^13047100 is an apocalyptic number.

13047100 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 13047100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16014600).

13047100 is an abundant number, since it is smaller than the sum of its proper divisors (18982100).

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

13047100 is a wasteful number, since it uses less digits than its factorization.

13047100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 13047100 is about 3612.0769648500. The cubic root of 13047100 is about 235.4170953952.

The spelling of 13047100 in words is "thirteen million, forty-seven thousand, one hundred".