133302133350 has 120 divisors (see below), whose sum is σ = 371909399400. Its totient is φ = 35546973120.

The previous prime is 133302133313. The next prime is 133302133351. The reversal of 133302133350 is 53331203331.

133302133350 is a `hidden beast` number, since 1 + 3 + 3 + 302 + 1 + 3 + 3 + 350 = 666.

It is a super-2 number, since 2×133302133350² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133302133351) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 916426 + ... + 1051874.

It is an arithmetic number, because the mean of its divisors is an integer number (3099244995).

Almost surely, 2^133302133350 is an apocalyptic number.

133302133350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133302133350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185954699700).

133302133350 is an abundant number, since it is smaller than the sum of its proper divisors (238607266050).

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

133302133350 is an frugal number, since it uses more digits than its factorization.

133302133350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135488 (or 135459 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 27.

Adding to 133302133350 its reverse (53331203331), we get a palindrome (186633336681).

The spelling of 133302133350 in words is "one hundred thirty-three billion, three hundred two million, one hundred thirty-three thousand, three hundred fifty".