10012002421313 has 2 divisors, whose sum is σ = 10012002421314. Its totient is φ = 10012002421312.

The previous prime is 10012002421301. The next prime is 10012002421331. The reversal of 10012002421313 is 31312420021001.

Together with next prime (10012002421331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6785279990449 + 3226722430864 = 2604857^2 + 1796308^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012002421313 - 2²⁸ = 10011733985857 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012002421363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006001210656 + 5006001210657.

It is an arithmetic number, because the mean of its divisors is an integer number (5006001210657).

Almost surely, 2^{10012002421313} is an apocalyptic number.

It is an amenable number.

10012002421313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012002421313 is an equidigital number, since it uses as much as digits as its factorization.

10012002421313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10012002421313 its reverse (31312420021001), we get a palindrome (41324422442314).

The spelling of 10012002421313 in words is "ten trillion, twelve billion, two million, four hundred twenty-one thousand, three hundred thirteen".