13030020003000 has 1024 divisors, whose sum is σ = 55853885767680. Its totient is φ = 2441117952000.

The previous prime is 13030020002887. The next prime is 13030020003029. The reversal of 13030020003000 is 30002003031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 129078547 + ... + 129179453.

It is an arithmetic number, because the mean of its divisors is an integer number (54544810320).

Almost surely, 2^{13030020003000} is an apocalyptic number.

13030020003000 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 13030020003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27926942883840).

13030020003000 is an abundant number, since it is smaller than the sum of its proper divisors (42823865764680).

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

13030020003000 is a wasteful number, since it uses less digits than its factorization.

13030020003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101005 (or 100991 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 13030020003000 its reverse (30002003031), we get a palindrome (13060022006031).

The spelling of 13030020003000 in words is "thirteen trillion, thirty billion, twenty million, three thousand".