101312013123 has 12 divisors (see below), whose sum is σ = 154041657640. Its totient is φ = 63986534496.

The previous prime is 101312013107. The next prime is 101312013137. The reversal of 101312013123 is 321310213101.

It is not a de Polignac number, because 101312013123 - 2⁴ = 101312013107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101312013096 and 101312013105.

It is not an unprimeable number, because it can be changed into a prime (101312013163) 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 11 ways as a sum of consecutive naturals, for example, 296233786 + ... + 296234127.

Almost surely, 2^101312013123 is an apocalyptic number.

101312013123 is a deficient number, since it is larger than the sum of its proper divisors (52729644517).

101312013123 is a wasteful number, since it uses less digits than its factorization.

101312013123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592467938 (or 592467935 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101312013123 its reverse (321310213101), we get a palindrome (422622226224).

The spelling of 101312013123 in words is "one hundred one billion, three hundred twelve million, thirteen thousand, one hundred twenty-three".