1021130001013 has 2 divisors, whose sum is σ = 1021130001014. Its totient is φ = 1021130001012.

The previous prime is 1021130001007. The next prime is 1021130001019. The reversal of 1021130001013 is 3101000311201.

1021130001013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (1021130001007) and next prime (1021130001019).

It can be written as a sum of positive squares in only one way, i.e., 693650782449 + 327479218564 = 832857^2 + 572258^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021130001013 - 2²⁹ = 1020593130101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1021130000984 and 1021130001002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021130001019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510565000506 + 510565000507.

It is an arithmetic number, because the mean of its divisors is an integer number (510565000507).

Almost surely, 2^{1021130001013} is an apocalyptic number.

It is an amenable number.

1021130001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021130001013 is an equidigital number, since it uses as much as digits as its factorization.

1021130001013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1021130001013 its reverse (3101000311201), we get a palindrome (4122130312214).

The spelling of 1021130001013 in words is "one trillion, twenty-one billion, one hundred thirty million, one thousand, thirteen".