133132013040 has 160 divisors (see below), whose sum is σ = 444865651776. Its totient is φ = 32740761600.

The previous prime is 133132013033. The next prime is 133132013041. The reversal of 133132013040 is 40310231331.

It is a junction number, because it is equal to n+sod(n) for n = 133132012998 and 133132013016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133132013041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3465940 + ... + 3504140.

Almost surely, 2^133132013040 is an apocalyptic number.

133132013040 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 133132013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222432825888).

133132013040 is an abundant number, since it is smaller than the sum of its proper divisors (311733638736).

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

133132013040 is a wasteful number, since it uses less digits than its factorization.

133132013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39347 (or 39341 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 133132013040 its reverse (40310231331), we get a palindrome (173442244371).

The spelling of 133132013040 in words is "one hundred thirty-three billion, one hundred thirty-two million, thirteen thousand, forty".