1305122131 has 2 divisors, whose sum is σ = 1305122132. Its totient is φ = 1305122130.

The previous prime is 1305122087. The next prime is 1305122149. The reversal of 1305122131 is 1312215031.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1305122131 - 2¹⁷ = 1304991059 is a prime.

It is a super-2 number, since 2×1305122131² = 3406687553651962322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1305122099 and 1305122108.

It is not a weakly prime, because it can be changed into another prime (1305122171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652561065 + 652561066.

It is an arithmetic number, because the mean of its divisors is an integer number (652561066).

Almost surely, 2^1305122131 is an apocalyptic number.

1305122131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305122131 is an equidigital number, since it uses as much as digits as its factorization.

1305122131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1305122131 is about 36126.4741014121. The cubic root of 1305122131 is about 1092.8244039046.

Adding to 1305122131 its reverse (1312215031), we get a palindrome (2617337162).

The spelling of 1305122131 in words is "one billion, three hundred five million, one hundred twenty-two thousand, one hundred thirty-one".