133300020 has 96 divisors (see below), whose sum is σ = 437020416. Its totient is φ = 29721600.

The previous prime is 133300007. The next prime is 133300033. The reversal of 133300020 is 20003331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133300007) and next prime (133300033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 133299969 and 133300005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13350 + ... + 21090.

It is an arithmetic number, because the mean of its divisors is an integer number (4552296).

Almost surely, 2^133300020 is an apocalyptic number.

133300020 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 133300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218510208).

133300020 is an abundant number, since it is smaller than the sum of its proper divisors (303720396).

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

133300020 is a wasteful number, since it uses less digits than its factorization.

133300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7801 (or 7799 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 133300020 is about 11545.5627840309. The cubic root of 133300020 is about 510.8304041825.

Adding to 133300020 its reverse (20003331), we get a palindrome (153303351).

It can be divided in two parts, 13 and 3300020, that added together give a palindrome (3300033).

The spelling of 133300020 in words is "one hundred thirty-three million, three hundred thousand, twenty".