312103032133 has 2 divisors, whose sum is σ = 312103032134. Its totient is φ = 312103032132.

The previous prime is 312103032119. The next prime is 312103032139. The reversal of 312103032133 is 331230301213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 268372694209 + 43730337924 = 518047^2 + 209118^2 .

It is a cyclic number.

It is not a de Polignac number, because 312103032133 - 2¹³ = 312103023941 is a prime.

It is a super-2 number, since 2×312103032133² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312103032139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156051516066 + 156051516067.

It is an arithmetic number, because the mean of its divisors is an integer number (156051516067).

Almost surely, 2^312103032133 is an apocalyptic number.

It is an amenable number.

312103032133 is a deficient number, since it is larger than the sum of its proper divisors (1).

312103032133 is an equidigital number, since it uses as much as digits as its factorization.

312103032133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 312103032133 its reverse (331230301213), we get a palindrome (643333333346).

The spelling of 312103032133 in words is "three hundred twelve billion, one hundred three million, thirty-two thousand, one hundred thirty-three".