133132113120 has 96 divisors (see below), whose sum is σ = 419925703680. Its totient is φ = 35454528000.

The previous prime is 133132113091. The next prime is 133132113131. The reversal of 133132113120 is 21311231331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×133132113120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175821 + ... + 545139.

It is an arithmetic number, because the mean of its divisors is an integer number (4374226080).

Almost surely, 2^133132113120 is an apocalyptic number.

133132113120 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 133132113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209962851840).

133132113120 is an abundant number, since it is smaller than the sum of its proper divisors (286793590560).

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

133132113120 is a wasteful number, since it uses less digits than its factorization.

133132113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370088 (or 370080 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 133132113120 its reverse (21311231331), we get a palindrome (154443344451).

The spelling of 133132113120 in words is "one hundred thirty-three billion, one hundred thirty-two million, one hundred thirteen thousand, one hundred twenty".