133120071 has 48 divisors (see below), whose sum is σ = 231571200. Its totient is φ = 74036160.

The previous prime is 133120051. The next prime is 133120103. The reversal of 133120071 is 170021331.

It is not a de Polignac number, because 133120071 - 2¹⁴ = 133103687 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133120051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317500 + ... + 317918.

It is an arithmetic number, because the mean of its divisors is an integer number (4824400).

Almost surely, 2^133120071 is an apocalyptic number.

133120071 is a deficient number, since it is larger than the sum of its proper divisors (98451129).

133120071 is an equidigital number, since it uses as much as digits as its factorization.

133120071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 133120071 is about 11537.7671583370. The cubic root of 133120071 is about 510.6004346856.

The spelling of 133120071 in words is "one hundred thirty-three million, one hundred twenty thousand, seventy-one".