1013101721 has 2 divisors, whose sum is σ = 1013101722. Its totient is φ = 1013101720.

The previous prime is 1013101709. The next prime is 1013101741. The reversal of 1013101721 is 1271013101.

1013101721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 642115600 + 370986121 = 25340^2 + 19261^2 .

It is an emirp because it is prime and its reverse (1271013101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013101721 - 2⁶ = 1013101657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1013101721.

It is not a weakly prime, because it can be changed into another prime (1013101741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506550860 + 506550861.

It is an arithmetic number, because the mean of its divisors is an integer number (506550861).

Almost surely, 2^1013101721 is an apocalyptic number.

It is an amenable number.

1013101721 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013101721 is an equidigital number, since it uses as much as digits as its factorization.

1013101721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 1013101721 is about 31829.2588823554. The cubic root of 1013101721 is about 1004.3483051699.

Adding to 1013101721 its reverse (1271013101), we get a palindrome (2284114822).

The spelling of 1013101721 in words is "one billion, thirteen million, one hundred one thousand, seven hundred twenty-one".