133013300 has 144 divisors (see below), whose sum is σ = 354560640. Its totient is φ = 42301440.

The previous prime is 133013267. The next prime is 133013311. The reversal of 133013300 is 3310331.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 970832 + ... + 970968.

Almost surely, 2^133013300 is an apocalyptic number.

133013300 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 133013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177280320).

133013300 is an abundant number, since it is smaller than the sum of its proper divisors (221547340).

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

133013300 is a wasteful number, since it uses less digits than its factorization.

133013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 133013300 is about 11533.1392083855. The cubic root of 133013300 is about 510.4638865288.

Adding to 133013300 its reverse (3310331), we get a palindrome (136323631).

The spelling of 133013300 in words is "one hundred thirty-three million, thirteen thousand, three hundred".