13124142403050 has 288 divisors, whose sum is σ = 39732850684800. Its totient is φ = 2807734579200.

The previous prime is 13124142403049. The next prime is 13124142403079. The reversal of 13124142403050 is 5030424142131.

It is a super-2 number, since 2×13124142403050² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13124142402999 and 13124142403017.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54804976 + ... + 55043924.

It is an arithmetic number, because the mean of its divisors is an integer number (137961287100).

Almost surely, 2^{13124142403050} is an apocalyptic number.

13124142403050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13124142403050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19866425342400).

13124142403050 is an abundant number, since it is smaller than the sum of its proper divisors (26608708281750).

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

13124142403050 is a wasteful number, since it uses less digits than its factorization.

13124142403050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239186 (or 239164 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 13124142403050 its reverse (5030424142131), we get a palindrome (18154566545181).

The spelling of 13124142403050 in words is "thirteen trillion, one hundred twenty-four billion, one hundred forty-two million, four hundred three thousand, fifty".