133013000 has 32 divisors (see below), whose sum is σ = 311252760. Its totient is φ = 53204800.

The previous prime is 133012991. The next prime is 133013003. The reversal of 133013000 is 310331.

133013000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39967684 + 93045316 = 6322^2 + 9646^2 .

It is not an unprimeable number, because it can be changed into a prime (133013003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65507 + ... + 67506.

Almost surely, 2^133013000 is an apocalyptic number.

133013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133013000 is an abundant number, since it is smaller than the sum of its proper divisors (178239760).

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

133013000 is a wasteful number, since it uses less digits than its factorization.

133013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133034 (or 133020 counting only the distinct ones).

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

The square root of 133013000 is about 11533.1262023790. The cubic root of 133013000 is about 510.4635027594.

Adding to 133013000 its reverse (310331), we get a palindrome (133323331).

The spelling of 133013000 in words is "one hundred thirty-three million, thirteen thousand".