2111111321131 has 2 divisors, whose sum is σ = 2111111321132. Its totient is φ = 2111111321130.

The previous prime is 2111111321071. The next prime is 2111111321167. The reversal of 2111111321131 is 1311231111112.

It is a m-pointer prime, because the next prime (2111111321167) can be obtained adding 2111111321131 to its product of digits (36).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2111111321131 - 2¹⁹ = 2111110796843 is a prime.

It is a super-2 number, since 2×2111111321131² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2111111321099 and 2111111321108.

It is not a weakly prime, because it can be changed into another prime (2111111324131) 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 as a sum of consecutive naturals, namely, 1055555660565 + 1055555660566.

It is an arithmetic number, because the mean of its divisors is an integer number (1055555660566).

Almost surely, 2^{2111111321131} is an apocalyptic number.

2111111321131 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111111321131 is an equidigital number, since it uses as much as digits as its factorization.

2111111321131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36, while the sum is 19.

Adding to 2111111321131 its reverse (1311231111112), we get a palindrome (3422342432243).

The spelling of 2111111321131 in words is "two trillion, one hundred eleven billion, one hundred eleven million, three hundred twenty-one thousand, one hundred thirty-one".