13002223003000 has 256 divisors, whose sum is σ = 38032890854400. Its totient is φ = 4041938880000.

The previous prime is 13002223002971. The next prime is 13002223003127. The reversal of 13002223003000 is 30032220031.

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, 28960230 + ... + 29405770.

It is an arithmetic number, because the mean of its divisors is an integer number (148565979900).

Almost surely, 2^{13002223003000} is an apocalyptic number.

13002223003000 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 13002223003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19016445427200).

13002223003000 is an abundant number, since it is smaller than the sum of its proper divisors (25030667851400).

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

13002223003000 is a wasteful number, since it uses less digits than its factorization.

13002223003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445959 (or 445945 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 13002223003000 its reverse (30032220031), we get a palindrome (13032255223031).

The spelling of 13002223003000 in words is "thirteen trillion, two billion, two hundred twenty-three million, three thousand".