221302013133033 has 16 divisors (see below), whose sum is σ = 374691239167360. Its totient is φ = 126458293218768.

The previous prime is 221302013133023. The next prime is 221302013133049. The reversal of 221302013133033 is 330331310203122.

221302013133033 is a `hidden beast` number, since 2 + 21 + 3 + 0 + 20 + 1 + 313 + 303 + 3 = 666.

It is not a de Polignac number, because 221302013133033 - 2⁴ = 221302013133017 is a prime.

It is a super-2 number, since 2×221302013133033² (a number of 29 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221302013132988 and 221302013133006.

It is not an unprimeable number, because it can be changed into a prime (221302013133023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585455061010 + ... + 585455061387.

It is an arithmetic number, because the mean of its divisors is an integer number (23418202447960).

Almost surely, 2^{221302013133033} is an apocalyptic number.

It is an amenable number.

221302013133033 is a deficient number, since it is larger than the sum of its proper divisors (153389226034327).

221302013133033 is a wasteful number, since it uses less digits than its factorization.

221302013133033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170910122413 (or 1170910122407 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 221302013133033 its reverse (330331310203122), we get a palindrome (551633323336155).

The spelling of 221302013133033 in words is "two hundred twenty-one trillion, three hundred two billion, thirteen million, one hundred thirty-three thousand, thirty-three".