13213023023200 has 576 divisors, whose sum is σ = 43548902691840. Its totient is φ = 3780504576000.

The previous prime is 13213023023173. The next prime is 13213023023219. The reversal of 13213023023200 is 232032031231.

It is a super-2 number, since 2×13213023023200² (a number of 27 digits) contains 22 as substring.

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, 144899221 + ... + 144990379.

It is an arithmetic number, because the mean of its divisors is an integer number (75605733840).

Almost surely, 2^{13213023023200} is an apocalyptic number.

13213023023200 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 13213023023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21774451345920).

13213023023200 is an abundant number, since it is smaller than the sum of its proper divisors (30335879668640).

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

13213023023200 is a wasteful number, since it uses less digits than its factorization.

13213023023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91391 (or 91378 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13213023023200 its reverse (232032031231), we get a palindrome (13445055054431).

The spelling of 13213023023200 in words is "thirteen trillion, two hundred thirteen billion, twenty-three million, twenty-three thousand, two hundred".