213340400013123 has 12 divisors (see below), whose sum is σ = 310121147650288. Its totient is φ = 141321029307120.

The previous prime is 213340400013121. The next prime is 213340400013137. The reversal of 213340400013123 is 321310004043312.

It is a happy number.

213340400013123 is a `hidden beast` number, since 2 + 1 + 3 + 340 + 4 + 0 + 0 + 0 + 1 + 312 + 3 = 666.

It is not a de Polignac number, because 213340400013123 - 2¹ = 213340400013121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213340400013121) 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, 75492001423 + ... + 75492004248.

Almost surely, 2^{213340400013123} is an apocalyptic number.

213340400013123 is a deficient number, since it is larger than the sum of its proper divisors (96780747637165).

213340400013123 is a wasteful number, since it uses less digits than its factorization.

213340400013123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150984005834 (or 150984005831 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213340400013123 its reverse (321310004043312), we get a palindrome (534650404056435).

The spelling of 213340400013123 in words is "two hundred thirteen trillion, three hundred forty billion, four hundred million, thirteen thousand, one hundred twenty-three".