13103330322000 has 320 divisors, whose sum is σ = 44373885603840. Its totient is φ = 3320159040000.

The previous prime is 13103330321999. The next prime is 13103330322001. The reversal of 13103330322000 is 22303330131.

It is an interprime number because it is at equal distance from previous prime (13103330321999) and next prime (13103330322001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103330322001) 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, 20523591 + ... + 21152409.

It is an arithmetic number, because the mean of its divisors is an integer number (138668392512).

Almost surely, 2^{13103330322000} is an apocalyptic number.

13103330322000 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 13103330322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22186942801920).

13103330322000 is an abundant number, since it is smaller than the sum of its proper divisors (31270555281840).

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

13103330322000 is a wasteful number, since it uses less digits than its factorization.

13103330322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629019 (or 629003 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13103330322000 its reverse (22303330131), we get a palindrome (13125633652131).

The spelling of 13103330322000 in words is "thirteen trillion, one hundred three billion, three hundred thirty million, three hundred twenty-two thousand".