13323031021300 has 288 divisors, whose sum is σ = 38824919046144. Its totient is φ = 3832470720000.

The previous prime is 13323031021231. The next prime is 13323031021319. The reversal of 13323031021300 is 312013032331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 745836169 + ... + 745854031.

It is an arithmetic number, because the mean of its divisors is an integer number (134808746688).

Almost surely, 2^{13323031021300} is an apocalyptic number.

13323031021300 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 13323031021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19412459523072).

13323031021300 is an abundant number, since it is smaller than the sum of its proper divisors (25501888024844).

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

13323031021300 is a wasteful number, since it uses less digits than its factorization.

13323031021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25359 (or 25352 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13323031021300 its reverse (312013032331), we get a palindrome (13635044053631).

The spelling of 13323031021300 in words is "thirteen trillion, three hundred twenty-three billion, thirty-one million, twenty-one thousand, three hundred".