210012414313 has 8 divisors (see below), whose sum is σ = 226189417608. Its totient is φ = 193838582784.

The previous prime is 210012414307. The next prime is 210012414317. The reversal of 210012414313 is 313414210012.

210012414313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11303304489 + 198709109824 = 106317^2 + 445768^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 210012414313 - 2⁹ = 210012413801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210012414317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 654520 + ... + 921097.

It is an arithmetic number, because the mean of its divisors is an integer number (28273677201).

Almost surely, 2^210012414313 is an apocalyptic number.

It is an amenable number.

210012414313 is a deficient number, since it is larger than the sum of its proper divisors (16177003295).

210012414313 is a wasteful number, since it uses less digits than its factorization.

210012414313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585883.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 210012414313 its reverse (313414210012), we get a palindrome (523426624325).

The spelling of 210012414313 in words is "two hundred ten billion, twelve million, four hundred fourteen thousand, three hundred thirteen".