133120013 has 16 divisors (see below), whose sum is σ = 152628336. Its totient is φ = 115015680.

The previous prime is 133119997. The next prime is 133120019. The reversal of 133120013 is 310021331.

It can be written as a sum of positive squares in 8 ways, for example, as 37920964 + 95199049 = 6158^2 + 9757^2 .

It is not a de Polignac number, because 133120013 - 2⁴ = 133119997 is a prime.

It is a super-3 number, since 3×133120013³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133120019) 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, 41093 + ... + 44213.

It is an arithmetic number, because the mean of its divisors is an integer number (9539271).

Almost surely, 2^133120013 is an apocalyptic number.

133120013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133120013 is a deficient number, since it is larger than the sum of its proper divisors (19508323).

133120013 is a wasteful number, since it uses less digits than its factorization.

133120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344.

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

The square root of 133120013 is about 11537.7646448521. The cubic root of 133120013 is about 510.6003605299.

Adding to 133120013 its reverse (310021331), we get a palindrome (443141344).

It can be divided in two parts, 1331200 and 13, that multiplied together give a square (17305600 = 4160²).

The spelling of 133120013 in words is "one hundred thirty-three million, one hundred twenty thousand, thirteen".