13022100220311 has 96 divisors (see below), whose sum is σ = 23797587515520. Its totient is φ = 6677113347072.

The previous prime is 13022100220309. The next prime is 13022100220351. The reversal of 13022100220311 is 11302200122031.

13022100220311 is a `hidden beast` number, since 1 + 30 + 2 + 2 + 100 + 220 + 311 = 666.

It is not a de Polignac number, because 13022100220311 - 2¹ = 13022100220309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022100220351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33412281 + ... + 33799773.

It is an arithmetic number, because the mean of its divisors is an integer number (247891536620).

Almost surely, 2^{13022100220311} is an apocalyptic number.

13022100220311 is a deficient number, since it is larger than the sum of its proper divisors (10775487295209).

13022100220311 is a wasteful number, since it uses less digits than its factorization.

13022100220311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388665 (or 388662 counting only the distinct ones).

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

Adding to 13022100220311 its reverse (11302200122031), we get a palindrome (24324300342342).

The spelling of 13022100220311 in words is "thirteen trillion, twenty-two billion, one hundred million, two hundred twenty thousand, three hundred eleven".