123112132013 has 8 divisors (see below), whose sum is σ = 132712165656. Its totient is φ = 113530651200.

The previous prime is 123112131983. The next prime is 123112132021. The reversal of 123112132013 is 310231211321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33002898889 + 90109233124 = 181667^2 + 300182^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123112132013 - 2¹⁰ = 123112130989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123112432013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4624418 + ... + 4650963.

It is an arithmetic number, because the mean of its divisors is an integer number (16589020707).

Almost surely, 2^123112132013 is an apocalyptic number.

123112132013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123112132013 is a deficient number, since it is larger than the sum of its proper divisors (9600033643).

123112132013 is a wasteful number, since it uses less digits than its factorization.

123112132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9276415.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 123112132013 its reverse (310231211321), we get a palindrome (433343343334).

The spelling of 123112132013 in words is "one hundred twenty-three billion, one hundred twelve million, one hundred thirty-two thousand, thirteen".