133231120 has 80 divisors (see below), whose sum is σ = 341496000. Its totient is φ = 47936000.

The previous prime is 133231103. The next prime is 133231121. The reversal of 133231120 is 21132331.

133231120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 133231094 and 133231103.

It is not an unprimeable number, because it can be changed into a prime (133231121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88131 + ... + 89629.

It is an arithmetic number, because the mean of its divisors is an integer number (4268700).

Almost surely, 2^133231120 is an apocalyptic number.

133231120 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 133231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170748000).

133231120 is an abundant number, since it is smaller than the sum of its proper divisors (208264880).

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

133231120 is a wasteful number, since it uses less digits than its factorization.

133231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 133231120 is about 11542.5785680670. The cubic root of 133231120 is about 510.7423764871.

Adding to 133231120 its reverse (21132331), we get a palindrome (154363451).

It can be divided in two parts, 1332311 and 20, that added together give a palindrome (1332331).

The spelling of 133231120 in words is "one hundred thirty-three million, two hundred thirty-one thousand, one hundred twenty".