133005411024420 has 576 divisors, whose sum is σ = 425928096921600. Its totient is φ = 30751031808000.

The previous prime is 133005411024419. The next prime is 133005411024449. The reversal of 133005411024420 is 24420114500331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13784367756 + ... + 13784377404.

It is an arithmetic number, because the mean of its divisors is an integer number (739458501600).

Almost surely, 2^{133005411024420} is an apocalyptic number.

133005411024420 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 133005411024420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212964048460800).

133005411024420 is an abundant number, since it is smaller than the sum of its proper divisors (292922685897180).

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

133005411024420 is a wasteful number, since it uses less digits than its factorization.

133005411024420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10048 (or 10015 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 133005411024420 its reverse (24420114500331), we get a palindrome (157425525524751).

The spelling of 133005411024420 in words is "one hundred thirty-three trillion, five billion, four hundred eleven million, twenty-four thousand, four hundred twenty".