210312010113001 has 2 divisors, whose sum is σ = 210312010113002. Its totient is φ = 210312010113000.

The previous prime is 210312010112977. The next prime is 210312010113013. The reversal of 210312010113001 is 100311010213012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127082242501776 + 83229767611225 = 11273076^2 + 9123035^2 .

It is a cyclic number.

It is not a de Polignac number, because 210312010113001 - 2⁵ = 210312010112969 is a prime.

It is a super-2 number, since 2×210312010113001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (210312010114001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105156005056500 + 105156005056501.

It is an arithmetic number, because the mean of its divisors is an integer number (105156005056501).

Almost surely, 2^{210312010113001} is an apocalyptic number.

It is an amenable number.

210312010113001 is a deficient number, since it is larger than the sum of its proper divisors (1).

210312010113001 is an equidigital number, since it uses as much as digits as its factorization.

210312010113001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 210312010113001 its reverse (100311010213012), we get a palindrome (310623020326013).

The spelling of 210312010113001 in words is "two hundred ten trillion, three hundred twelve billion, ten million, one hundred thirteen thousand, one".