13102331233200 has 360 divisors, whose sum is σ = 46367842674384. Its totient is φ = 3160192358400.

The previous prime is 13102331233181. The next prime is 13102331233213. The reversal of 13102331233200 is 233213320131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28375374 + ... + 28833426.

Almost surely, 2^{13102331233200} is an apocalyptic number.

13102331233200 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 13102331233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23183921337192).

13102331233200 is an abundant number, since it is smaller than the sum of its proper divisors (33265511441184).

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

13102331233200 is a wasteful number, since it uses less digits than its factorization.

13102331233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458293 (or 458271 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13102331233200 its reverse (233213320131), we get a palindrome (13335544553331).

The spelling of 13102331233200 in words is "thirteen trillion, one hundred two billion, three hundred thirty-one million, two hundred thirty-three thousand, two hundred".