21213033013101 has 32 divisors (see below), whose sum is σ = 28676454192000. Its totient is φ = 13947517052928.

The previous prime is 21213033013049. The next prime is 21213033013199. The reversal of 21213033013101 is 10131033031212.

It is a happy number.

It is not a de Polignac number, because 21213033013101 - 2²⁵ = 21212999458669 is a prime.

It is a super-2 number, since 2×21213033013101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21213033011101) 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 31 ways as a sum of consecutive naturals, for example, 37717365 + ... + 38275653.

It is an arithmetic number, because the mean of its divisors is an integer number (896139193500).

Almost surely, 2^{21213033013101} is an apocalyptic number.

It is an amenable number.

21213033013101 is a deficient number, since it is larger than the sum of its proper divisors (7463421178899).

21213033013101 is a wasteful number, since it uses less digits than its factorization.

21213033013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559053.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 21213033013101 its reverse (10131033031212), we get a palindrome (31344066044313).

The spelling of 21213033013101 in words is "twenty-one trillion, two hundred thirteen billion, thirty-three million, thirteen thousand, one hundred one".