213133133102033 has 8 divisors (see below), whose sum is σ = 225675902544840. Its totient is φ = 200590977694720.

The previous prime is 213133133102027. The next prime is 213133133102051. The reversal of 213133133102033 is 330201331331312.

It can be written as a sum of positive squares in 4 ways, for example, as 64812691700689 + 148320441401344 = 8050633^2 + 12178688^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 213133133102033 - 2¹⁶ = 213133133036497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213133133101987 and 213133133102005.

It is not an unprimeable number, because it can be changed into a prime (213133133105033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152794148 + ... + 154182741.

It is an arithmetic number, because the mean of its divisors is an integer number (28209487818105).

Almost surely, 2^{213133133102033} is an apocalyptic number.

It is an amenable number.

213133133102033 is a deficient number, since it is larger than the sum of its proper divisors (12542769442807).

213133133102033 is a wasteful number, since it uses less digits than its factorization.

213133133102033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307017747.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 213133133102033 its reverse (330201331331312), we get a palindrome (543334464433345).

The spelling of 213133133102033 in words is "two hundred thirteen trillion, one hundred thirty-three billion, one hundred thirty-three million, one hundred two thousand, thirty-three".