13221031002000 has 320 divisors, whose sum is σ = 45265973935104. Its totient is φ = 3308364595200.

The previous prime is 13221031001977. The next prime is 13221031002001. The reversal of 13221031002000 is 20013012231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13221031002001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34181689 + ... + 34566311.

Almost surely, 2^{13221031002000} is an apocalyptic number.

13221031002000 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 13221031002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22632986967552).

13221031002000 is an abundant number, since it is smaller than the sum of its proper divisors (32044942933104).

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

13221031002000 is a wasteful number, since it uses less digits than its factorization.

13221031002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385003 (or 384987 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13221031002000 its reverse (20013012231), we get a palindrome (13241044014231).

The spelling of 13221031002000 in words is "thirteen trillion, two hundred twenty-one billion, thirty-one million, two thousand".