2221322311131 has 64 divisors (see below), whose sum is σ = 3718863912960. Its totient is φ = 1145749530240.

The previous prime is 2221322311063. The next prime is 2221322311133. The reversal of 2221322311131 is 1311132231222.

It is not a de Polignac number, because 2221322311131 - 2¹⁹ = 2221321786843 is a prime.

It is a super-2 number, since 2×2221322311131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2221322311133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19673185 + ... + 19785773.

It is an arithmetic number, because the mean of its divisors is an integer number (58107248640).

Almost surely, 2^{2221322311131} is an apocalyptic number.

2221322311131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2221322311131 is a deficient number, since it is larger than the sum of its proper divisors (1497541601829).

2221322311131 is a wasteful number, since it uses less digits than its factorization.

2221322311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113216.

The product of its digits is 864, while the sum is 24.

Adding to 2221322311131 its reverse (1311132231222), we get a palindrome (3532454542353).

The spelling of 2221322311131 in words is "two trillion, two hundred twenty-one billion, three hundred twenty-two million, three hundred eleven thousand, one hundred thirty-one".