1305971131 has 12 divisors (see below), whose sum is σ = 1356438000. Its totient is φ = 1257307920.

The previous prime is 1305971113. The next prime is 1305971141. The reversal of 1305971131 is 1311795031.

It is not a de Polignac number, because 1305971131 - 2¹³ = 1305962939 is a prime.

It is a super-2 number, since 2×1305971131² = 3411121190010838322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1305971093 and 1305971102.

It is not an unprimeable number, because it can be changed into a prime (1305971111) 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, 187825 + ... + 194653.

It is an arithmetic number, because the mean of its divisors is an integer number (113036500).

Almost surely, 2^1305971131 is an apocalyptic number.

1305971131 is a deficient number, since it is larger than the sum of its proper divisors (50466869).

1305971131 is an equidigital number, since it uses as much as digits as its factorization.

1305971131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090 (or 7059 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 31.

The square root of 1305971131 is about 36138.2225766570. Note that the first 3 decimals coincide. The cubic root of 1305971131 is about 1093.0613183373.

The spelling of 1305971131 in words is "one billion, three hundred five million, nine hundred seventy-one thousand, one hundred thirty-one".