1010021001013 has 2 divisors, whose sum is σ = 1010021001014. Its totient is φ = 1010021001012.

The previous prime is 1010021000977. The next prime is 1010021001097. The reversal of 1010021001013 is 3101001200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 693567499249 + 316453501764 = 832807^2 + 562542^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010021001013 - 2¹³ = 1010020992821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010021001413) 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, 505010500506 + 505010500507.

It is an arithmetic number, because the mean of its divisors is an integer number (505010500507).

Almost surely, 2^{1010021001013} is an apocalyptic number.

It is an amenable number.

1010021001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010021001013 is an equidigital number, since it uses as much as digits as its factorization.

1010021001013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1010021001013 its reverse (3101001200101), we get a palindrome (4111022201114).

The spelling of 1010021001013 in words is "one trillion, ten billion, twenty-one million, one thousand, thirteen".