133118973 has 24 divisors (see below), whose sum is σ = 207862200. Its totient is φ = 81607680.

The previous prime is 133118971. The next prime is 133118977. The reversal of 133118973 is 379811331.

It can be written as a sum of positive squares in 4 ways, for example, as 3090564 + 130028409 = 1758^2 + 11403^2 .

It is not a de Polignac number, because 133118973 - 2¹ = 133118971 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133118971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30853 + ... + 34901.

It is an arithmetic number, because the mean of its divisors is an integer number (8660925).

Almost surely, 2^133118973 is an apocalyptic number.

133118973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133118973 is a deficient number, since it is larger than the sum of its proper divisors (74743227).

133118973 is a wasteful number, since it uses less digits than its factorization.

133118973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4346 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 133118973 is about 11537.7195753754. The cubic root of 133118973 is about 510.5990308381.

The spelling of 133118973 in words is "one hundred thirty-three million, one hundred eighteen thousand, nine hundred seventy-three".