121312013 has 2 divisors, whose sum is σ = 121312014. Its totient is φ = 121312012.

The previous prime is 121312007. The next prime is 121312039. The reversal of 121312013 is 310213121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84309124 + 37002889 = 9182^2 + 6083^2 .

It is a cyclic number.

It is not a de Polignac number, because 121312013 - 2⁴ = 121311997 is a prime.

It is a super-2 number, since 2×121312013² = 29433208996224338, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121312003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60656006 + 60656007.

It is an arithmetic number, because the mean of its divisors is an integer number (60656007).

Almost surely, 2^121312013 is an apocalyptic number.

It is an amenable number.

121312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

121312013 is an equidigital number, since it uses as much as digits as its factorization.

121312013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 121312013 is about 11014.1732780995. The cubic root of 121312013 is about 495.0335153990.

Adding to 121312013 its reverse (310213121), we get a palindrome (431525134).

The spelling of 121312013 in words is "one hundred twenty-one million, three hundred twelve thousand, thirteen".