13021303121 has 2 divisors, whose sum is σ = 13021303122. Its totient is φ = 13021303120.

The previous prime is 13021303109. The next prime is 13021303133. The reversal of 13021303121 is 12130312031.

It is a balanced prime because it is at equal distance from previous prime (13021303109) and next prime (13021303133).

It can be written as a sum of positive squares in only one way, i.e., 7453904896 + 5567398225 = 86336^2 + 74615^2 .

It is a cyclic number.

It is not a de Polignac number, because 13021303121 - 2²⁶ = 12954194257 is a prime.

It is a super-3 number, since 3×13021303121³ (a number of 31 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13021303121.

It is not a weakly prime, because it can be changed into another prime (13021303151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6510651560 + 6510651561.

It is an arithmetic number, because the mean of its divisors is an integer number (6510651561).

Almost surely, 2^13021303121 is an apocalyptic number.

It is an amenable number.

13021303121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13021303121 is an equidigital number, since it uses as much as digits as its factorization.

13021303121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13021303121 its reverse (12130312031), we get a palindrome (25151615152).

The spelling of 13021303121 in words is "thirteen billion, twenty-one million, three hundred three thousand, one hundred twenty-one".