213153351042033 has 36 divisors (see below), whose sum is σ = 318148212416580. Its totient is φ = 137514928481280.

The previous prime is 213153351042019. The next prime is 213153351042043. The reversal of 213153351042033 is 330240153351312.

213153351042033 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 533 + 51 + 0 + 42 + 0 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49052331965169 + 164101019076864 = 7003737^2 + 12810192^2 .

It is not a de Polignac number, because 213153351042033 - 2¹² = 213153351037937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213153351042013) 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 35 ways as a sum of consecutive naturals, for example, 381392485 + ... + 381950957.

It is an arithmetic number, because the mean of its divisors is an integer number (8837450344905).

Almost surely, 2^{213153351042033} is an apocalyptic number.

It is an amenable number.

213153351042033 is a deficient number, since it is larger than the sum of its proper divisors (104994861374547).

213153351042033 is a wasteful number, since it uses less digits than its factorization.

213153351042033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602670 (or 602636 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 213153351042033 in words is "two hundred thirteen trillion, one hundred fifty-three billion, three hundred fifty-one million, forty-two thousand, thirty-three".