13124143033002 has 192 divisors, whose sum is σ = 32162037448320. Its totient is φ = 3843059945472.

The previous prime is 13124143032937. The next prime is 13124143033033. The reversal of 13124143033002 is 20033034142131.

It is a happy number.

13124143033002 is a `hidden beast` number, since 1 + 3 + 12 + 41 + 4 + 303 + 300 + 2 = 666.

It is a super-2 number, since 2×13124143033002² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401911308 + ... + 401943960.

It is an arithmetic number, because the mean of its divisors is an integer number (167510611710).

Almost surely, 2^{13124143033002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13124143033002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16081018724160).

13124143033002 is an abundant number, since it is smaller than the sum of its proper divisors (19037894415318).

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

13124143033002 is a wasteful number, since it uses less digits than its factorization.

13124143033002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33717 (or 33714 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13124143033002 its reverse (20033034142131), we get a palindrome (33157177175133).

The spelling of 13124143033002 in words is "thirteen trillion, one hundred twenty-four billion, one hundred forty-three million, thirty-three thousand, two".