13112300124 has 288 divisors, whose sum is σ = 44418157056. Its totient is φ = 3156848640.

The previous prime is 13112300119. The next prime is 13112300129. The reversal of 13112300124 is 42100321131.

13112300124 is a `hidden beast` number, since 1 + 311 + 230 + 0 + 124 = 666.

13112300124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13112300119) and next prime (13112300129).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13112300097 and 13112300106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112300129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3155232 + ... + 3159384.

It is an arithmetic number, because the mean of its divisors is an integer number (154229712).

Almost surely, 2^13112300124 is an apocalyptic number.

13112300124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112300124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22209078528).

13112300124 is an abundant number, since it is smaller than the sum of its proper divisors (31305856932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13112300124 is a wasteful number, since it uses less digits than its factorization.

13112300124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13112300124 its reverse (42100321131), we get a palindrome (55212621255).

It can be divided in two parts, 13112 and 300124, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 13112300124 in words is "thirteen billion, one hundred twelve million, three hundred thousand, one hundred twenty-four".