133013200320 has 2688 divisors, whose sum is σ = 667813386240. Its totient is φ = 23410114560.

The previous prime is 133013200241. The next prime is 133013200367. The reversal of 133013200320 is 23002310331.

133013200320 is a `hidden beast` number, since 1 + 330 + 13 + 2 + 0 + 0 + 320 = 666.

It is a super-2 number, since 2×133013200320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133013200293 and 133013200302.

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 383 ways as a sum of consecutive naturals, for example, 3093330219 + ... + 3093330261.

It is an arithmetic number, because the mean of its divisors is an integer number (248442480).

Almost surely, 2^133013200320 is an apocalyptic number.

133013200320 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 133013200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333906693120).

133013200320 is an abundant number, since it is smaller than the sum of its proper divisors (534800185920).

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

133013200320 is a wasteful number, since it uses less digits than its factorization.

133013200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133013200320 its reverse (23002310331), we get a palindrome (156015510651).

It can be divided in two parts, 133013 and 200320, that added together give a palindrome (333333).

The spelling of 133013200320 in words is "one hundred thirty-three billion, thirteen million, two hundred thousand, three hundred twenty".