13123132222200 has 2304 divisors, whose sum is σ = 56566599505920. Its totient is φ = 2448230400000.

The previous prime is 13123132222181. The next prime is 13123132222201. The reversal of 13123132222200 is 222223132131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123132222201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 47375928462 + ... + 47375928738.

It is an arithmetic number, because the mean of its divisors is an integer number (24551475480).

Almost surely, 2^{13123132222200} is an apocalyptic number.

13123132222200 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 13123132222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28283299752960).

13123132222200 is an abundant number, since it is smaller than the sum of its proper divisors (43443467283720).

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

13123132222200 is a wasteful number, since it uses less digits than its factorization.

13123132222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 490 counting only the distinct ones).

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

Adding to 13123132222200 its reverse (222223132131), we get a palindrome (13345355354331).

The spelling of 13123132222200 in words is "thirteen trillion, one hundred twenty-three billion, one hundred thirty-two million, two hundred twenty-two thousand, two hundred".