312101303123123 has 16 divisors (see below), whose sum is σ = 322772184465984. Its totient is φ = 301549498790400.

The previous prime is 312101303123047. The next prime is 312101303123147. The reversal of 312101303123123 is 321321303101213.

It is a cyclic number.

It is not a de Polignac number, because 312101303123123 - 2³⁶ = 312032583646387 is a prime.

It is a super-2 number, since 2×312101303123123² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312101303123092 and 312101303123101.

It is not an unprimeable number, because it can be changed into a prime (312101303123153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6185711 + ... + 25738407.

It is an arithmetic number, because the mean of its divisors is an integer number (20173261529124).

Almost surely, 2^{312101303123123} is an apocalyptic number.

312101303123123 is a deficient number, since it is larger than the sum of its proper divisors (10670881342861).

312101303123123 is a wasteful number, since it uses less digits than its factorization.

312101303123123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19555742.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 312101303123123 its reverse (321321303101213), we get a palindrome (633422606224336).

The spelling of 312101303123123 in words is "three hundred twelve trillion, one hundred one billion, three hundred three million, one hundred twenty-three thousand, one hundred twenty-three".