213123122213301 has 64 divisors (see below), whose sum is σ = 343837274112000. Its totient is φ = 129954624972480.

The previous prime is 213123122213251. The next prime is 213123122213317. The reversal of 213123122213301 is 103312221321312.

213123122213301 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 23 + 122 + 213 + 301 = 666.

It is not a de Polignac number, because 213123122213301 - 2⁷ = 213123122213173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213123122213341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248061696 + ... + 248919366.

It is an arithmetic number, because the mean of its divisors is an integer number (5372457408000).

Almost surely, 2^{213123122213301} is an apocalyptic number.

It is an amenable number.

213123122213301 is a deficient number, since it is larger than the sum of its proper divisors (130714151898699).

213123122213301 is a wasteful number, since it uses less digits than its factorization.

213123122213301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874431 (or 874425 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213123122213301 its reverse (103312221321312), we get a palindrome (316435343534613).

The spelling of 213123122213301 in words is "two hundred thirteen trillion, one hundred twenty-three billion, one hundred twenty-two million, two hundred thirteen thousand, three hundred one".