312313322123 has 16 divisors (see below), whose sum is σ = 347209263072. Its totient is φ = 278503680000.

The previous prime is 312313322081. The next prime is 312313322143. The reversal of 312313322123 is 321223313213.

It is a cyclic number.

It is not a de Polignac number, because 312313322123 - 2¹⁴ = 312313305739 is a prime.

It is a super-2 number, since 2×312313322123² (a number of 24 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 = 312313322092 and 312313322101.

It is not an unprimeable number, because it can be changed into a prime (312313322143) 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 in 15 ways as a sum of consecutive naturals, for example, 2743193 + ... + 2854773.

It is an arithmetic number, because the mean of its divisors is an integer number (21700578942).

Almost surely, 2^312313322123 is an apocalyptic number.

312313322123 is a deficient number, since it is larger than the sum of its proper divisors (34895940949).

312313322123 is a wasteful number, since it uses less digits than its factorization.

312313322123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116446.

The product of its digits is 3888, while the sum is 26.

Adding to 312313322123 its reverse (321223313213), we get a palindrome (633536635336).

It can be divided in two parts, 312313 and 322123, that added together give a palindrome (634436).

The spelling of 312313322123 in words is "three hundred twelve billion, three hundred thirteen million, three hundred twenty-two thousand, one hundred twenty-three".