213120213093 has 12 divisors (see below), whose sum is σ = 314390102208. Its totient is φ = 139057160040.

The previous prime is 213120213079. The next prime is 213120213107. The reversal of 213120213093 is 390312021312.

213120213093 is a `hidden beast` number, since 21 + 312 + 0 + 21 + 309 + 3 = 666.

213120213093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213120213079) and next prime (213120213107).

It is not a de Polignac number, because 213120213093 - 2¹⁸ = 213119950949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213120213893) 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 11 ways as a sum of consecutive naturals, for example, 251914723 + ... + 251915568.

It is an arithmetic number, because the mean of its divisors is an integer number (26199175184).

Almost surely, 2^213120213093 is an apocalyptic number.

It is an amenable number.

213120213093 is a deficient number, since it is larger than the sum of its proper divisors (101269889115).

213120213093 is a wasteful number, since it uses less digits than its factorization.

213120213093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503830344 (or 503830341 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

It can be divided in two parts, 21312021309 and 3, that added together give a palindrome (21312021312).

The spelling of 213120213093 in words is "two hundred thirteen billion, one hundred twenty million, two hundred thirteen thousand, ninety-three".