220311000013221 has 48 divisors (see below), whose sum is σ = 363129467356656. Its totient is φ = 127508003739648.

The previous prime is 220311000013219. The next prime is 220311000013241. The reversal of 220311000013221 is 122310000113022.

220311000013221 is a `hidden beast` number, since 220 + 311 + 0 + 0 + 0 + 0 + 132 + 2 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 414428225121 + 219896571788100 = 643761^2 + 14828910^2 .

It is not a de Polignac number, because 220311000013221 - 2¹ = 220311000013219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220311000013194 and 220311000013203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220311000013241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37605850 + ... + 43067643.

It is an arithmetic number, because the mean of its divisors is an integer number (7565197236597).

Almost surely, 2^{220311000013221} is an apocalyptic number.

It is an amenable number.

220311000013221 is a deficient number, since it is larger than the sum of its proper divisors (142818467343435).

220311000013221 is a wasteful number, since it uses less digits than its factorization.

220311000013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80674902 (or 80674899 counting only the distinct ones).

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

Adding to 220311000013221 its reverse (122310000113022), we get a palindrome (342621000126243).

The spelling of 220311000013221 in words is "two hundred twenty trillion, three hundred eleven billion, thirteen thousand, two hundred twenty-one".