413210202013201 has 2 divisors, whose sum is σ = 413210202013202. Its totient is φ = 413210202013200.

The previous prime is 413210202013129. The next prime is 413210202013247. The reversal of 413210202013201 is 102310202012314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 233012439915025 + 180197762098176 = 15264745^2 + 13423776^2 .

It is a cyclic number.

It is not a de Polignac number, because 413210202013201 - 2⁷ = 413210202013073 is a prime.

It is a super-3 number, since 3×413210202013201³ (a number of 45 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (413210202017201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206605101006600 + 206605101006601.

It is an arithmetic number, because the mean of its divisors is an integer number (206605101006601).

Almost surely, 2^{413210202013201} is an apocalyptic number.

It is an amenable number.

413210202013201 is a deficient number, since it is larger than the sum of its proper divisors (1).

413210202013201 is an equidigital number, since it uses as much as digits as its factorization.

413210202013201 is an evil number, because the sum of its binary digits is even.

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

Adding to 413210202013201 its reverse (102310202012314), we get a palindrome (515520404025515).

The spelling of 413210202013201 in words is "four hundred thirteen trillion, two hundred ten billion, two hundred two million, thirteen thousand, two hundred one".