1034131321 has 2 divisors, whose sum is σ = 1034131322. Its totient is φ = 1034131320.

The previous prime is 1034131309. The next prime is 1034131327. The reversal of 1034131321 is 1231314301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 866713600 + 167417721 = 29440^2 + 12939^2 .

It is a cyclic number.

It is not a de Polignac number, because 1034131321 - 2⁵ = 1034131289 is a prime.

It is not a weakly prime, because it can be changed into another prime (1034131327) 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, 517065660 + 517065661.

It is an arithmetic number, because the mean of its divisors is an integer number (517065661).

Almost surely, 2^1034131321 is an apocalyptic number.

It is an amenable number.

1034131321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1034131321 is an equidigital number, since it uses as much as digits as its factorization.

1034131321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1034131321 is about 32157.9122612150. The cubic root of 1034131321 is about 1011.2500683442.

Adding to 1034131321 its reverse (1231314301), we get a palindrome (2265445622).

It can be divided in two parts, 1034 and 131321, that added together give a triangular number (132355 = T₅₁₄).

The spelling of 1034131321 in words is "one billion, thirty-four million, one hundred thirty-one thousand, three hundred twenty-one".