214104642122313 has 24 divisors (see below), whose sum is σ = 309465448344000. Its totient is φ = 142642655806560.

The previous prime is 214104642122291. The next prime is 214104642122341. The reversal of 214104642122313 is 313221246401412.

214104642122313 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 0 + 4 + 6 + 421 + 223 + 1 + 3 = 666.

It is not a de Polignac number, because 214104642122313 - 2⁵ = 214104642122281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214104642122383) 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 23 ways as a sum of consecutive naturals, for example, 413461228 + ... + 413978738.

It is an arithmetic number, because the mean of its divisors is an integer number (12894393681000).

Almost surely, 2^{214104642122313} is an apocalyptic number.

It is an amenable number.

214104642122313 is a deficient number, since it is larger than the sum of its proper divisors (95360806221687).

214104642122313 is a wasteful number, since it uses less digits than its factorization.

214104642122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547629 (or 547626 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 214104642122313 its reverse (313221246401412), we get a palindrome (527325888523725).

The spelling of 214104642122313 in words is "two hundred fourteen trillion, one hundred four billion, six hundred forty-two million, one hundred twenty-two thousand, three hundred thirteen".