133013120 has 32 divisors (see below), whose sum is σ = 317986020. Its totient is φ = 53204992.

The previous prime is 133013119. The next prime is 133013137. The reversal of 133013120 is 21310331.

It can be written as a sum of positive squares in 2 ways, for example, as 132894784 + 118336 = 11528^2 + 344^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 133013095 and 133013104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103277 + ... + 104556.

Almost surely, 2^133013120 is an apocalyptic number.

133013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133013120 is an abundant number, since it is smaller than the sum of its proper divisors (184972900).

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

133013120 is an equidigital number, since it uses as much as digits as its factorization.

133013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207852 (or 207840 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 133013120 is about 11533.1314047834. The cubic root of 133013120 is about 510.4636562672.

Adding to 133013120 its reverse (21310331), we get a palindrome (154323451).

The spelling of 133013120 in words is "one hundred thirty-three million, thirteen thousand, one hundred twenty".