312413412221 has 2 divisors, whose sum is σ = 312413412222. Its totient is φ = 312413412220.

The previous prime is 312413412203. The next prime is 312413412229. The reversal of 312413412221 is 122214314213.

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., 311844064900 + 569347321 = 558430^2 + 23861^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312413412221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312413412229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156206706110 + 156206706111.

It is an arithmetic number, because the mean of its divisors is an integer number (156206706111).

Almost surely, 2^312413412221 is an apocalyptic number.

It is an amenable number.

312413412221 is a deficient number, since it is larger than the sum of its proper divisors (1).

312413412221 is an equidigital number, since it uses as much as digits as its factorization.

312413412221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2304, while the sum is 26.

Adding to 312413412221 its reverse (122214314213), we get a palindrome (434627726434).

The spelling of 312413412221 in words is "three hundred twelve billion, four hundred thirteen million, four hundred twelve thousand, two hundred twenty-one".