1021021013 has 2 divisors, whose sum is σ = 1021021014. Its totient is φ = 1021021012.

The previous prime is 1021021007. The next prime is 1021021033. The reversal of 1021021013 is 3101201201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1017418609 + 3602404 = 31897^2 + 1898^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021021013 - 2⁸ = 1021020757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1021020985 and 1021021003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021021033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510510506 + 510510507.

It is an arithmetic number, because the mean of its divisors is an integer number (510510507).

Almost surely, 2^1021021013 is an apocalyptic number.

It is an amenable number.

1021021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021021013 is an equidigital number, since it uses as much as digits as its factorization.

1021021013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1021021013 is about 31953.4194257829. The cubic root of 1021021013 is about 1006.9584716945.

Adding to 1021021013 its reverse (3101201201), we get a palindrome (4122222214).

The spelling of 1021021013 in words is "one billion, twenty-one million, twenty-one thousand, thirteen".