123013312031 has 2 divisors, whose sum is σ = 123013312032. Its totient is φ = 123013312030.

The previous prime is 123013311991. The next prime is 123013312073. The reversal of 123013312031 is 130213310321.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123013312031 is a prime.

It is a super-3 number, since 3×123013312031³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 123013311994 and 123013312012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123013912031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61506656015 + 61506656016.

It is an arithmetic number, because the mean of its divisors is an integer number (61506656016).

Almost surely, 2^123013312031 is an apocalyptic number.

123013312031 is a deficient number, since it is larger than the sum of its proper divisors (1).

123013312031 is an equidigital number, since it uses as much as digits as its factorization.

123013312031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 123013312031 its reverse (130213310321), we get a palindrome (253226622352).

The spelling of 123013312031 in words is "one hundred twenty-three billion, thirteen million, three hundred twelve thousand, thirty-one".