13000103021 has 2 divisors, whose sum is σ = 13000103022. Its totient is φ = 13000103020.

The previous prime is 13000103009. The next prime is 13000103027. The reversal of 13000103021 is 12030100031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12710082121 + 290020900 = 112739^2 + 17030^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13000103021 is a prime.

It is a super-2 number, since 2×13000103021² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13000102993 and 13000103011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13000103027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500051510 + 6500051511.

It is an arithmetic number, because the mean of its divisors is an integer number (6500051511).

Almost surely, 2^13000103021 is an apocalyptic number.

It is an amenable number.

13000103021 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000103021 is an equidigital number, since it uses as much as digits as its factorization.

13000103021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 13000103021 its reverse (12030100031), we get a palindrome (25030203052).

It can be divided in two parts, 1300010 and 3021, that added together give a palindrome (1303031).

The spelling of 13000103021 in words is "thirteen billion, one hundred three thousand, twenty-one".