1310828821 has 2 divisors, whose sum is σ = 1310828822. Its totient is φ = 1310828820.

The previous prime is 1310828819. The next prime is 1310828839. The reversal of 1310828821 is 1288280131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 997928100 + 312900721 = 31590^2 + 17689^2 .

It is an emirp because it is prime and its reverse (1288280131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1310828821 - 2¹ = 1310828819 is a prime.

Together with 1310828819, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1310828801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655414410 + 655414411.

It is an arithmetic number, because the mean of its divisors is an integer number (655414411).

Almost surely, 2^1310828821 is an apocalyptic number.

It is an amenable number.

1310828821 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310828821 is an equidigital number, since it uses as much as digits as its factorization.

1310828821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 1310828821 is about 36205.3700574929. The cubic root of 1310828821 is about 1094.4148917037.

The spelling of 1310828821 in words is "one billion, three hundred ten million, eight hundred twenty-eight thousand, eight hundred twenty-one".