13030031242000 has 320 divisors, whose sum is σ = 35134592313600. Its totient is φ = 4644747878400.

The previous prime is 13030031241959. The next prime is 13030031242049. The reversal of 13030031242000 is 24213003031.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1543289779 + ... + 1543298221.

It is an arithmetic number, because the mean of its divisors is an integer number (109795600980).

Almost surely, 2^{13030031242000} is an apocalyptic number.

13030031242000 is a gapful number since it is divisible by the number (10) 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 13030031242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17567296156800).

13030031242000 is an abundant number, since it is smaller than the sum of its proper divisors (22104561071600).

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

13030031242000 is a wasteful number, since it uses less digits than its factorization.

13030031242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10891 (or 10875 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13030031242000 its reverse (24213003031), we get a palindrome (13054244245031).

The spelling of 13030031242000 in words is "thirteen trillion, thirty billion, thirty-one million, two hundred forty-two thousand".