13230113222400 has 216 divisors, whose sum is σ = 43869072866304. Its totient is φ = 3511308595200.

The previous prime is 13230113222399. The next prime is 13230113222441. The reversal of 13230113222400 is 422231103231.

It is a super-4 number, since 4×13230113222400⁴ (a number of 54 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2418337 + ... + 5684063.

Almost surely, 2^{13230113222400} is an apocalyptic number.

13230113222400 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 13230113222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21934536433152).

13230113222400 is an abundant number, since it is smaller than the sum of its proper divisors (30638959643904).

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

13230113222400 is a wasteful number, since it uses less digits than its factorization.

13230113222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265967 (or 3265948 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13230113222400 its reverse (422231103231), we get a palindrome (13652344325631).

The spelling of 13230113222400 in words is "thirteen trillion, two hundred thirty billion, one hundred thirteen million, two hundred twenty-two thousand, four hundred".