10013643721 has 2 divisors, whose sum is σ = 10013643722. Its totient is φ = 10013643720.

The previous prime is 10013643667. The next prime is 10013643727. The reversal of 10013643721 is 12734631001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10012203721 + 1440000 = 100061^2 + 1200^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013643721 - 2²⁷ = 9879425993 is a prime.

It is a super-2 number, since 2×10013643721² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10013643721.

It is not a weakly prime, because it can be changed into another prime (10013643727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006821860 + 5006821861.

It is an arithmetic number, because the mean of its divisors is an integer number (5006821861).

Almost surely, 2^10013643721 is an apocalyptic number.

It is an amenable number.

10013643721 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013643721 is an equidigital number, since it uses as much as digits as its factorization.

10013643721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 10013643721 in words is "ten billion, thirteen million, six hundred forty-three thousand, seven hundred twenty-one".