133020214344320 has 64 divisors (see below), whose sum is σ = 318017176167240. Its totient is φ = 53205454417920.

The previous prime is 133020214344287. The next prime is 133020214344323. The reversal of 133020214344320 is 23443412020331.

It can be written as a sum of positive squares in 4 ways, for example, as 38726326410304 + 94293887934016 = 6223048^2 + 9710504^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (133020214344323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7837874 + ... + 18096206.

Almost surely, 2^{133020214344320} is an apocalyptic number.

133020214344320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133020214344320 is an abundant number, since it is smaller than the sum of its proper divisors (184996961822920).

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

133020214344320 is a wasteful number, since it uses less digits than its factorization.

133020214344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10278613 (or 10278601 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 133020214344320 its reverse (23443412020331), we get a palindrome (156463626364651).

The spelling of 133020214344320 in words is "one hundred thirty-three trillion, twenty billion, two hundred fourteen million, three hundred forty-four thousand, three hundred twenty".