13122414001350 has 144 divisors (see below), whose sum is σ = 35363412489600. Its totient is φ = 3488614272000.

The previous prime is 13122414001313. The next prime is 13122414001369. The reversal of 13122414001350 is 5310041422131.

13122414001350 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 241 + 400 + 13 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 348527326 + ... + 348564974.

It is an arithmetic number, because the mean of its divisors is an integer number (245579253400).

Almost surely, 2^{13122414001350} is an apocalyptic number.

13122414001350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13122414001350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17681706244800).

13122414001350 is an abundant number, since it is smaller than the sum of its proper divisors (22240998488250).

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

13122414001350 is a wasteful number, since it uses less digits than its factorization.

13122414001350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40015 (or 40007 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13122414001350 its reverse (5310041422131), we get a palindrome (18432455423481).

The spelling of 13122414001350 in words is "thirteen trillion, one hundred twenty-two billion, four hundred fourteen million, one thousand, three hundred fifty".