13003121124 has 144 divisors (see below), whose sum is σ = 40288510080. Its totient is φ = 3453166080.

The previous prime is 13003121119. The next prime is 13003121189. The reversal of 13003121124 is 42112130031.

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 = 13003121097 and 13003121106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228144 + ... + 279384.

It is an arithmetic number, because the mean of its divisors is an integer number (279781320).

Almost surely, 2^13003121124 is an apocalyptic number.

13003121124 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 13003121124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20144255040).

13003121124 is an abundant number, since it is smaller than the sum of its proper divisors (27285388956).

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

13003121124 is a wasteful number, since it uses less digits than its factorization.

13003121124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51330 (or 51325 counting only the distinct ones).

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

Adding to 13003121124 its reverse (42112130031), we get a palindrome (55115251155).

The spelling of 13003121124 in words is "thirteen billion, three million, one hundred twenty-one thousand, one hundred twenty-four".