133413234413220 has 144 divisors (see below), whose sum is σ = 405466351250688. Its totient is φ = 35508373367040.

The previous prime is 133413234413161. The next prime is 133413234413237. The reversal of 133413234413220 is 22314432314331.

133413234413220 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 1 + 3 + 234 + 413 + 2 + 2 + 0 = 666.

It is a super-2 number, since 2×133413234413220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308053230 + ... + 308486010.

It is an arithmetic number, because the mean of its divisors is an integer number (2815738550352).

Almost surely, 2^{133413234413220} is an apocalyptic number.

133413234413220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133413234413220 is an abundant number, since it is smaller than the sum of its proper divisors (272053116837468).

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

133413234413220 is a wasteful number, since it uses less digits than its factorization.

133413234413220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436090 (or 436085 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 133413234413220 its reverse (22314432314331), we get a palindrome (155727666727551).

The spelling of 133413234413220 in words is "one hundred thirty-three trillion, four hundred thirteen billion, two hundred thirty-four million, four hundred thirteen thousand, two hundred twenty".