133320233000 has 128 divisors (see below), whose sum is σ = 320559876000. Its totient is φ = 51867648000.

The previous prime is 133320232979. The next prime is 133320233021. The reversal of 133320233000 is 332023331.

It is an interprime number because it is at equal distance from previous prime (133320232979) and next prime (133320233021).

It can be written as a sum of positive squares in 16 ways, for example, as 74050382884 + 59269850116 = 272122^2 + 243454^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13812176 + ... + 13821824.

Almost surely, 2^133320233000 is an apocalyptic number.

133320233000 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 133320233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160279938000).

133320233000 is an abundant number, since it is smaller than the sum of its proper divisors (187239643000).

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

133320233000 is a wasteful number, since it uses less digits than its factorization.

133320233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048 (or 10034 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 133320233000 its reverse (332023331), we get a palindrome (133652256331).

The spelling of 133320233000 in words is "one hundred thirty-three billion, three hundred twenty million, two hundred thirty-three thousand".