213148211017 has 8 divisors (see below), whose sum is σ = 243608691456. Its totient is φ = 182690414592.

The previous prime is 213148210999. The next prime is 213148211069. The reversal of 213148211017 is 710112841312.

213148211017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 213148211017 - 2²³ = 213139822409 is a prime.

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 213148211017.

It is not an unprimeable number, because it can be changed into a prime (213148211417) 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 7 ways as a sum of consecutive naturals, for example, 497848 + ... + 821065.

It is an arithmetic number, because the mean of its divisors is an integer number (30451086432).

Almost surely, 2^213148211017 is an apocalyptic number.

It is an amenable number.

213148211017 is a deficient number, since it is larger than the sum of its proper divisors (30460480439).

213148211017 is a wasteful number, since it uses less digits than its factorization.

213148211017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342007.

The product of its (nonzero) digits is 2688, while the sum is 31.

The spelling of 213148211017 in words is "two hundred thirteen billion, one hundred forty-eight million, two hundred eleven thousand, seventeen".