21300120102213 has 16 divisors (see below), whose sum is σ = 31574777445760. Its totient is φ = 14191510285728.

The previous prime is 21300120102091. The next prime is 21300120102241. The reversal of 21300120102213 is 31220102100312.

21300120102213 is a `hidden beast` number, since 21 + 300 + 120 + 1 + 0 + 221 + 3 = 666.

It is not a de Polignac number, because 21300120102213 - 2¹³ = 21300120094021 is a prime.

It is a super-3 number, since 3×21300120102213³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21300120102413) 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 15 ways as a sum of consecutive naturals, for example, 238003945 + ... + 238093422.

It is an arithmetic number, because the mean of its divisors is an integer number (1973423590360).

Almost surely, 2^{21300120102213} is an apocalyptic number.

It is an amenable number.

21300120102213 is a deficient number, since it is larger than the sum of its proper divisors (10274657343547).

21300120102213 is a wasteful number, since it uses less digits than its factorization.

21300120102213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476099033 (or 476099027 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21300120102213 its reverse (31220102100312), we get a palindrome (52520222202525).

The spelling of 21300120102213 in words is "twenty-one trillion, three hundred billion, one hundred twenty million, one hundred two thousand, two hundred thirteen".