312313113011 has 2 divisors, whose sum is σ = 312313113012. Its totient is φ = 312313113010.

The previous prime is 312313112941. The next prime is 312313113031. The reversal of 312313113011 is 110311313213.

It is an a-pointer prime, because the next prime (312313113031) can be obtained adding 312313113011 to its sum of digits (20).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 312313113011 - 2¹⁸ = 312312850867 is a prime.

It is a super-2 number, since 2×312313113011² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312313113031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156156556505 + 156156556506.

It is an arithmetic number, because the mean of its divisors is an integer number (156156556506).

Almost surely, 2^312313113011 is an apocalyptic number.

312313113011 is a deficient number, since it is larger than the sum of its proper divisors (1).

312313113011 is an equidigital number, since it uses as much as digits as its factorization.

312313113011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 312313113011 its reverse (110311313213), we get a palindrome (422624426224).

The spelling of 312313113011 in words is "three hundred twelve billion, three hundred thirteen million, one hundred thirteen thousand, eleven".