33013302132213 has 48 divisors (see below), whose sum is σ = 53127588150000. Its totient is φ = 19614321183744.

The previous prime is 33013302132197. The next prime is 33013302132227. The reversal of 33013302132213 is 31223120331033.

33013302132213 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 330 + 2 + 1 + 322 + 1 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3045363539409 + 29967938592804 = 1745097^2 + 5474298^2 .

It is not a de Polignac number, because 33013302132213 - 2⁴ = 33013302132197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33013302132413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68464603 + ... + 68945111.

It is an arithmetic number, because the mean of its divisors is an integer number (1106824753125).

Almost surely, 2^{33013302132213} is an apocalyptic number.

It is an amenable number.

33013302132213 is a deficient number, since it is larger than the sum of its proper divisors (20114286017787).

33013302132213 is a wasteful number, since it uses less digits than its factorization.

33013302132213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500806 (or 500803 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 33013302132213 its reverse (31223120331033), we get a palindrome (64236422463246).

The spelling of 33013302132213 in words is "thirty-three trillion, thirteen billion, three hundred two million, one hundred thirty-two thousand, two hundred thirteen".