133271216806560 has 768 divisors, whose sum is σ = 502183075774464. Its totient is φ = 29047688220672.

The previous prime is 133271216806487. The next prime is 133271216806591. The reversal of 133271216806560 is 65608612172331.

It is a super-2 number, since 2×133271216806560² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41608245919 + ... + 41608249121.

It is an arithmetic number, because the mean of its divisors is an integer number (653884213248).

Almost surely, 2^{133271216806560} is an apocalyptic number.

133271216806560 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 133271216806560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251091537887232).

133271216806560 is an abundant number, since it is smaller than the sum of its proper divisors (368911858967904).

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

133271216806560 is a wasteful number, since it uses less digits than its factorization.

133271216806560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

Adding to 133271216806560 its reverse (65608612172331), we get a palindrome (198879828978891).

The spelling of 133271216806560 in words is "one hundred thirty-three trillion, two hundred seventy-one billion, two hundred sixteen million, eight hundred six thousand, five hundred sixty".