13033100 has 54 divisors (see below), whose sum is σ = 29386140. Its totient is φ = 5015840.

The previous prime is 13033099. The next prime is 13033103. The reversal of 13033100 is 133031.

It is a super-2 number, since 2×13033100² = 339723391220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13033103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 220871 + ... + 220929.

Almost surely, 2^13033100 is an apocalyptic number.

13033100 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 13033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14693070).

13033100 is an abundant number, since it is smaller than the sum of its proper divisors (16353040).

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

13033100 is a wasteful number, since it uses less digits than its factorization.

13033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 13033100 is about 3610.1385014982. The cubic root of 13033100 is about 235.3328616347.

Adding to 13033100 its reverse (133031), we get a palindrome (13166131).

The spelling of 13033100 in words is "thirteen million, thirty-three thousand, one hundred".