411232210101313 has 2 divisors, whose sum is σ = 411232210101314. Its totient is φ = 411232210101312.

The previous prime is 411232210101259. The next prime is 411232210101367. The reversal of 411232210101313 is 313101012232114.

It is a balanced prime because it is at equal distance from previous prime (411232210101259) and next prime (411232210101367).

It can be written as a sum of positive squares in only one way, i.e., 375271943131969 + 35960266969344 = 19371937^2 + 5996688^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-411232210101313 is a prime.

It is a super-2 number, since 2×411232210101313² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (411232210101413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 205616105050656 + 205616105050657.

It is an arithmetic number, because the mean of its divisors is an integer number (205616105050657).

Almost surely, 2^{411232210101313} is an apocalyptic number.

It is an amenable number.

411232210101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

411232210101313 is an equidigital number, since it uses as much as digits as its factorization.

411232210101313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 411232210101313 its reverse (313101012232114), we get a palindrome (724333222333427).

The spelling of 411232210101313 in words is "four hundred eleven trillion, two hundred thirty-two billion, two hundred ten million, one hundred one thousand, three hundred thirteen".