21322100210013 has 192 divisors, whose sum is σ = 34031533536000. Its totient is φ = 12817163132928.

The previous prime is 21322100209987. The next prime is 21322100210027. The reversal of 21322100210013 is 31001200122312.

21322100210013 is a `hidden beast` number, since 21 + 322 + 100 + 210 + 0 + 13 = 666.

It is not a de Polignac number, because 21322100210013 - 2¹⁰ = 21322100208989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21322100290013) 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 191 ways as a sum of consecutive naturals, for example, 32652526795 + ... + 32652527447.

It is an arithmetic number, because the mean of its divisors is an integer number (177247570500).

Almost surely, 2^{21322100210013} is an apocalyptic number.

It is an amenable number.

21322100210013 is a deficient number, since it is larger than the sum of its proper divisors (12709433325987).

21322100210013 is a wasteful number, since it uses less digits than its factorization.

21322100210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1353 counting only the distinct ones).

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

Adding to 21322100210013 its reverse (31001200122312), we get a palindrome (52323300332325).

The spelling of 21322100210013 in words is "twenty-one trillion, three hundred twenty-two billion, one hundred million, two hundred ten thousand, thirteen".