13000122003000 has 512 divisors, whose sum is σ = 46870720865280. Its totient is φ = 2964879360000.

The previous prime is 13000122002957. The next prime is 13000122003007. The reversal of 13000122003000 is 30022100031.

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 not an unprimeable number, because it can be changed into a prime (13000122003007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2043719820 + ... + 2043726180.

It is an arithmetic number, because the mean of its divisors is an integer number (91544376690).

Almost surely, 2^{13000122003000} is an apocalyptic number.

13000122003000 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 13000122003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23435360432640).

13000122003000 is an abundant number, since it is smaller than the sum of its proper divisors (33870598862280).

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

13000122003000 is a wasteful number, since it uses less digits than its factorization.

13000122003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10056 (or 10042 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13000122003000 its reverse (30022100031), we get a palindrome (13030144103031).

The spelling of 13000122003000 in words is "thirteen trillion, one hundred twenty-two million, three thousand".