213213141012033 has 24 divisors (see below), whose sum is σ = 319997848060800. Its totient is φ = 136636058124384.

The previous prime is 213213141012023. The next prime is 213213141012059. The reversal of 213213141012033 is 330210141312312.

213213141012033 is a `hidden beast` number, since 2 + 1 + 3 + 213 + 1 + 410 + 1 + 2 + 0 + 33 = 666.

It is not a de Polignac number, because 213213141012033 - 2²⁶ = 213213073903169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213213141011988 and 213213141012006.

It is not an unprimeable number, because it can be changed into a prime (213213141012023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1799298873 + ... + 1799417366.

It is an arithmetic number, because the mean of its divisors is an integer number (13333243669200).

Almost surely, 2^{213213141012033} is an apocalyptic number.

It is an amenable number.

213213141012033 is a deficient number, since it is larger than the sum of its proper divisors (106784707048767).

213213141012033 is a wasteful number, since it uses less digits than its factorization.

213213141012033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598716501 (or 3598716498 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213213141012033 its reverse (330210141312312), we get a palindrome (543423282324345).

The spelling of 213213141012033 in words is "two hundred thirteen trillion, two hundred thirteen billion, one hundred forty-one million, twelve thousand, thirty-three".