2221313323131 has 12 divisors (see below), whose sum is σ = 3666929930352. Its totient is φ = 1269321898896.

The previous prime is 2221313323129. The next prime is 2221313323157. The reversal of 2221313323131 is 1313233131222.

2221313323131 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 313 + 32 + 313 + 1 = 666.

It is not a de Polignac number, because 2221313323131 - 2¹ = 2221313323129 is a prime.

It is a super-2 number, since 2×2221313323131² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2221313323095 and 2221313323104.

It is not an unprimeable number, because it can be changed into a prime (2221313323111) 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 11 ways as a sum of consecutive naturals, for example, 17629470756 + ... + 17629470881.

It is an arithmetic number, because the mean of its divisors is an integer number (305577494196).

Almost surely, 2^{2221313323131} is an apocalyptic number.

2221313323131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2221313323131 is a deficient number, since it is larger than the sum of its proper divisors (1445616607221).

2221313323131 is a wasteful number, since it uses less digits than its factorization.

2221313323131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35258941650 (or 35258941647 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 2221313323131 its reverse (1313233131222), we get a palindrome (3534546454353).

The spelling of 2221313323131 in words is "two trillion, two hundred twenty-one billion, three hundred thirteen million, three hundred twenty-three thousand, one hundred thirty-one".