221421323013 has 128 divisors (see below), whose sum is σ = 346023788544. Its totient is φ = 124700774400.

The previous prime is 221421322987. The next prime is 221421323029. The reversal of 221421323013 is 310323124122.

221421323013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221421323013 - 2¹⁸ = 221421060869 is a prime.

It is a super-3 number, since 3×221421323013³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221421323063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 992920620 + ... + 992920842.

It is an arithmetic number, because the mean of its divisors is an integer number (2703310848).

Almost surely, 2^221421323013 is an apocalyptic number.

It is an amenable number.

221421323013 is a deficient number, since it is larger than the sum of its proper divisors (124602465531).

221421323013 is a wasteful number, since it uses less digits than its factorization.

221421323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 221421323013 its reverse (310323124122), we get a palindrome (531744447135).

The spelling of 221421323013 in words is "two hundred twenty-one billion, four hundred twenty-one million, three hundred twenty-three thousand, thirteen".