121310110013 has 2 divisors, whose sum is σ = 121310110014. Its totient is φ = 121310110012.

The previous prime is 121310109979. The next prime is 121310110063. The reversal of 121310110013 is 310011013121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85897644889 + 35412465124 = 293083^2 + 188182^2 .

It is a cyclic number.

It is not a de Polignac number, because 121310110013 - 2¹⁰ = 121310108989 is a prime.

It is a super-2 number, since 2×121310110013² (a number of 23 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 121310110013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121310110063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60655055006 + 60655055007.

It is an arithmetic number, because the mean of its divisors is an integer number (60655055007).

Almost surely, 2^121310110013 is an apocalyptic number.

It is an amenable number.

121310110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

121310110013 is an equidigital number, since it uses as much as digits as its factorization.

121310110013 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 14.

Adding to 121310110013 its reverse (310011013121), we get a palindrome (431321123134).

The spelling of 121310110013 in words is "one hundred twenty-one billion, three hundred ten million, one hundred ten thousand, thirteen".