13112223210000 has 300 divisors, whose sum is σ = 45959931114240. Its totient is φ = 3488617440000.

The previous prime is 13112223209951. The next prime is 13112223210001. The reversal of 13112223210000 is 1232221131.

13112223210000 is a `hidden beast` number, since 1 + 311 + 22 + 232 + 100 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is not an unprimeable number, because it can be changed into a prime (13112223210001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39344065 + ... + 39675935.

Almost surely, 2^{13112223210000} is an apocalyptic number.

13112223210000 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 13112223210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22979965557120).

13112223210000 is an abundant number, since it is smaller than the sum of its proper divisors (32847707904240).

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

13112223210000 is a wasteful number, since it uses less digits than its factorization.

13112223210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332344 (or 332320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13112223210000 its reverse (1232221131), we get a palindrome (13113455431131).

The spelling of 13112223210000 in words is "thirteen trillion, one hundred twelve billion, two hundred twenty-three million, two hundred ten thousand".