13133000 has 64 divisors (see below), whose sum is σ = 32123520. Its totient is φ = 5016000.

The previous prime is 13132991. The next prime is 13133011. The reversal of 13133000 is 33131.

13133000 = T₁₉₁ + T₁₉₂ + ... + T₄₄₀.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22715 + ... + 23285.

It is an arithmetic number, because the mean of its divisors is an integer number (501930).

Almost surely, 2^13133000 is an apocalyptic number.

13133000 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 13133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16061760).

13133000 is an abundant number, since it is smaller than the sum of its proper divisors (18990520).

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

13133000 is a wasteful number, since it uses less digits than its factorization.

13133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 601 counting only the distinct ones).

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

The square root of 13133000 is about 3623.9481232490. The cubic root of 13133000 is about 235.9326150619.

Adding to 13133000 its reverse (33131), we get a palindrome (13166131).

The spelling of 13133000 in words is "thirteen million, one hundred thirty-three thousand".