1021104013 has 2 divisors, whose sum is σ = 1021104014. Its totient is φ = 1021104012.

The previous prime is 1021104011. The next prime is 1021104089. The reversal of 1021104013 is 3104011201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 796763529 + 224340484 = 28227^2 + 14978^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021104013 - 2¹ = 1021104011 is a prime.

Together with 1021104011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1021103984 and 1021104002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021104011) 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, 510552006 + 510552007.

It is an arithmetic number, because the mean of its divisors is an integer number (510552007).

Almost surely, 2^1021104013 is an apocalyptic number.

It is an amenable number.

1021104013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021104013 is an equidigital number, since it uses as much as digits as its factorization.

1021104013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1021104013 is about 31954.7181649283. The cubic root of 1021104013 is about 1006.9857565683.

Adding to 1021104013 its reverse (3104011201), we get a palindrome (4125115214).

The spelling of 1021104013 in words is "one billion, twenty-one million, one hundred four thousand, thirteen".