133213020 has 96 divisors (see below), whose sum is σ = 401599296. Its totient is φ = 32870400.

The previous prime is 133212949. The next prime is 133213043. The reversal of 133213020 is 20312331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61150 + ... + 63290.

It is an arithmetic number, because the mean of its divisors is an integer number (4183326).

Almost surely, 2^133213020 is an apocalyptic number.

133213020 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 133213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200799648).

133213020 is an abundant number, since it is smaller than the sum of its proper divisors (268386276).

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

133213020 is a wasteful number, since it uses less digits than its factorization.

133213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 133213020 is about 11541.7944878602. The cubic root of 133213020 is about 510.7192466166.

Adding to 133213020 its reverse (20312331), we get a palindrome (153525351).

The spelling of 133213020 in words is "one hundred thirty-three million, two hundred thirteen thousand, twenty".