312413224303133 has 2 divisors, whose sum is σ = 312413224303134. Its totient is φ = 312413224303132.

The previous prime is 312413224302961. The next prime is 312413224303199. The reversal of 312413224303133 is 331303422314213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189749027103364 + 122664197199769 = 13774942^2 + 11075387^2 .

It is a cyclic number.

It is not a de Polignac number, because 312413224303133 - 2²⁴ = 312413207525917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312413224303093 and 312413224303102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312413224302133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156206612151566 + 156206612151567.

It is an arithmetic number, because the mean of its divisors is an integer number (156206612151567).

Almost surely, 2^{312413224303133} is an apocalyptic number.

It is an amenable number.

312413224303133 is a deficient number, since it is larger than the sum of its proper divisors (1).

312413224303133 is an equidigital number, since it uses as much as digits as its factorization.

312413224303133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 35.

Adding to 312413224303133 its reverse (331303422314213), we get a palindrome (643716646617346).

The spelling of 312413224303133 in words is "three hundred twelve trillion, four hundred thirteen billion, two hundred twenty-four million, three hundred three thousand, one hundred thirty-three".