13005054223400 has 96 divisors (see below), whose sum is σ = 30282476797440. Its totient is φ = 5194159445760.

The previous prime is 13005054223391. The next prime is 13005054223409. The reversal of 13005054223400 is 432245050031.

It is a happy number.

13005054223400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13005054223391) and next prime (13005054223409).

It is not an unprimeable number, because it can be changed into a prime (13005054223409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530221937 + ... + 530246463.

It is an arithmetic number, because the mean of its divisors is an integer number (315442466640).

Almost surely, 2^{13005054223400} is an apocalyptic number.

13005054223400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13005054223400 is an abundant number, since it is smaller than the sum of its proper divisors (17277422574040).

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

13005054223400 is a wasteful number, since it uses less digits than its factorization.

13005054223400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28443 (or 28434 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 13005054223400 its reverse (432245050031), we get a palindrome (13437299273431).

The spelling of 13005054223400 in words is "thirteen trillion, five billion, fifty-four million, two hundred twenty-three thousand, four hundred".