133141330320 has 320 divisors, whose sum is σ = 453849951744. Its totient is φ = 32151306240.

The previous prime is 133141330277. The next prime is 133141330327. The reversal of 133141330320 is 23033141331.

It is a happy number.

133141330320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133141330320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (133141330327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12205989 + ... + 12216891.

Almost surely, 2^133141330320 is an apocalyptic number.

133141330320 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 133141330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226924975872).

133141330320 is an abundant number, since it is smaller than the sum of its proper divisors (320708621424).

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

133141330320 is a wasteful number, since it uses less digits than its factorization.

133141330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11050 (or 11044 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 133141330320 its reverse (23033141331), we get a palindrome (156174471651).

The spelling of 133141330320 in words is "one hundred thirty-three billion, one hundred forty-one million, three hundred thirty thousand, three hundred twenty".