1021331230013 has 2 divisors, whose sum is σ = 1021331230014. Its totient is φ = 1021331230012.

The previous prime is 1021331229977. The next prime is 1021331230027. The reversal of 1021331230013 is 3100321331201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 764998628164 + 256332601849 = 874642^2 + 506293^2 .

It is an emirp because it is prime and its reverse (3100321331201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1021331230013 - 2¹⁴ = 1021331213629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021331230313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510665615006 + 510665615007.

It is an arithmetic number, because the mean of its divisors is an integer number (510665615007).

Almost surely, 2^{1021331230013} is an apocalyptic number.

It is an amenable number.

1021331230013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021331230013 is an equidigital number, since it uses as much as digits as its factorization.

1021331230013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1021331230013 its reverse (3100321331201), we get a palindrome (4121652561214).

The spelling of 1021331230013 in words is "one trillion, twenty-one billion, three hundred thirty-one million, two hundred thirty thousand, thirteen".