133121120 has 96 divisors (see below), whose sum is σ = 351267840. Its totient is φ = 47255040.

The previous prime is 133121111. The next prime is 133121123. The reversal of 133121120 is 21121331.

It is a junction number, because it is equal to n+sod(n) for n = 133121095 and 133121104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133121123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74801 + ... + 76559.

It is an arithmetic number, because the mean of its divisors is an integer number (3659040).

Almost surely, 2^133121120 is an apocalyptic number.

133121120 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 133121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920).

133121120 is an abundant number, since it is smaller than the sum of its proper divisors (218146720).

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

133121120 is a wasteful number, since it uses less digits than its factorization.

133121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 133121120 is about 11537.8126176498. The cubic root of 133121120 is about 510.6017758769.

Adding to 133121120 its reverse (21121331), we get a palindrome (154242451).

The spelling of 133121120 in words is "one hundred thirty-three million, one hundred twenty-one thousand, one hundred twenty".