13112322300 has 648 divisors, whose sum is σ = 52442976768. Its totient is φ = 2682028800.

The previous prime is 13112322239. The next prime is 13112322319. The reversal of 13112322300 is 322321131.

13112322300 = 378² + 379² + ... + 3402².

13112322300 is a `hidden beast` number, since 1 + 31 + 12 + 322 + 300 = 666.

13112322300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 78516817 + ... + 78516983.

Almost surely, 2^13112322300 is an apocalyptic number.

13112322300 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 13112322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26221488384).

13112322300 is an abundant number, since it is smaller than the sum of its proper divisors (39330654468).

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

13112322300 is a wasteful number, since it uses less digits than its factorization.

13112322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13112322300 its reverse (322321131), we get a palindrome (13434643431).

The spelling of 13112322300 in words is "thirteen billion, one hundred twelve million, three hundred twenty-two thousand, three hundred".