312332133313 has 2 divisors, whose sum is σ = 312332133314. Its totient is φ = 312332133312.

The previous prime is 312332133257. The next prime is 312332133319. The reversal of 312332133313 is 313331233213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 246276965169 + 66055168144 = 496263^2 + 257012^2 .

It is a cyclic number.

It is not a de Polignac number, because 312332133313 - 2¹³ = 312332125121 is a prime.

It is a super-2 number, since 2×312332133313² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312332133319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156166066656 + 156166066657.

It is an arithmetic number, because the mean of its divisors is an integer number (156166066657).

Almost surely, 2^312332133313 is an apocalyptic number.

It is an amenable number.

312332133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

312332133313 is an equidigital number, since it uses as much as digits as its factorization.

312332133313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8748, while the sum is 28.

Adding to 312332133313 its reverse (313331233213), we get a palindrome (625663366526).

The spelling of 312332133313 in words is "three hundred twelve billion, three hundred thirty-two million, one hundred thirty-three thousand, three hundred thirteen".