13034100 has 72 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 3322880.

The previous prime is 13034093. The next prime is 13034129. The reversal of 13034100 is 143031.

13034100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 5956 + ... + 7844.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 2^13034100 is an apocalyptic number.

13034100 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 13034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

13034100 is an abundant number, since it is smaller than the sum of its proper divisors (26338380).

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

13034100 is a wasteful number, since it uses less digits than its factorization.

13034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13034100 is about 3610.2769976831. The cubic root of 13034100 is about 235.3388803318.

Adding to 13034100 its reverse (143031), we get a palindrome (13177131).

The spelling of 13034100 in words is "thirteen million, thirty-four thousand, one hundred".