312113011261 has 2 divisors, whose sum is σ = 312113011262. Its totient is φ = 312113011260.

The previous prime is 312113011213. The next prime is 312113011277. The reversal of 312113011261 is 162110311213.

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., 308170427161 + 3942584100 = 555131^2 + 62790^2 .

It is a cyclic number.

It is not a de Polignac number, because 312113011261 - 2¹¹ = 312113009213 is a prime.

It is a super-2 number, since 2×312113011261² (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 (312113011291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156056505630 + 156056505631.

It is an arithmetic number, because the mean of its divisors is an integer number (156056505631).

Almost surely, 2^312113011261 is an apocalyptic number.

It is an amenable number.

312113011261 is a deficient number, since it is larger than the sum of its proper divisors (1).

312113011261 is an equidigital number, since it uses as much as digits as its factorization.

312113011261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 312113011261 its reverse (162110311213), we get a palindrome (474223322474).

The spelling of 312113011261 in words is "three hundred twelve billion, one hundred thirteen million, eleven thousand, two hundred sixty-one".