133952013 has 12 divisors (see below), whose sum is σ = 208369980. Its totient is φ = 82431936.

The previous prime is 133952011. The next prime is 133952051. The reversal of 133952013 is 310259331.

It is a happy number.

133952013 is a `hidden beast` number, since 133 + 9 + 520 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83229129 + 50722884 = 9123^2 + 7122^2 .

It is not a de Polignac number, because 133952013 - 2¹ = 133952011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133952011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 572328 + ... + 572561.

It is an arithmetic number, because the mean of its divisors is an integer number (17364165).

Almost surely, 2^133952013 is an apocalyptic number.

133952013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133952013 is a deficient number, since it is larger than the sum of its proper divisors (74417967).

133952013 is a wasteful number, since it uses less digits than its factorization.

133952013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144908 (or 1144905 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 133952013 is about 11573.7639944834. The cubic root of 133952013 is about 511.6619026932.

The spelling of 133952013 in words is "one hundred thirty-three million, nine hundred fifty-two thousand, thirteen".