13003011323000 has 256 divisors, whose sum is σ = 34002296640000. Its totient is φ = 4625326540800.

The previous prime is 13003011322877. The next prime is 13003011323021. The reversal of 13003011323000 is 32311030031.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 13003011323000.

It is a congruent number.

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, 122363891 + ... + 122470109.

It is an arithmetic number, because the mean of its divisors is an integer number (132821471250).

Almost surely, 2^{13003011323000} is an apocalyptic number.

13003011323000 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 13003011323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17001148320000).

13003011323000 is an abundant number, since it is smaller than the sum of its proper divisors (20999285317000).

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

13003011323000 is a wasteful number, since it uses less digits than its factorization.

13003011323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106655 (or 106641 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13003011323000 its reverse (32311030031), we get a palindrome (13035322353031).

The spelling of 13003011323000 in words is "thirteen trillion, three billion, eleven million, three hundred twenty-three thousand".