13018211227350 has 432 divisors, whose sum is σ = 41058034617600. Its totient is φ = 2948472576000.

The previous prime is 13018211227309. The next prime is 13018211227361. The reversal of 13018211227350 is 5372211281031.

13018211227350 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 82 + 1 + 1 + 227 + 350 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1422595275 + ... + 1422604425.

It is an arithmetic number, because the mean of its divisors is an integer number (95041746800).

Almost surely, 2^{13018211227350} is an apocalyptic number.

13018211227350 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 13018211227350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20529017308800).

13018211227350 is an abundant number, since it is smaller than the sum of its proper divisors (28039823390250).

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

13018211227350 is a wasteful number, since it uses less digits than its factorization.

13018211227350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9765 (or 9750 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 13018211227350 in words is "thirteen trillion, eighteen billion, two hundred eleven million, two hundred twenty-seven thousand, three hundred fifty".