13214215504035 has 192 divisors, whose sum is σ = 29853564878592. Its totient is φ = 5247225888768.

The previous prime is 13214215504027. The next prime is 13214215504057. The reversal of 13214215504035 is 53040551241231.

13214215504035 is a `hidden beast` number, since 1 + 3 + 2 + 14 + 21 + 550 + 40 + 35 = 666.

It is not a de Polignac number, because 13214215504035 - 2³ = 13214215504027 is a prime.

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 191 ways as a sum of consecutive naturals, for example, 558091617 + ... + 558115293.

It is an arithmetic number, because the mean of its divisors is an integer number (155487317076).

Almost surely, 2^{13214215504035} is an apocalyptic number.

13214215504035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13214215504035 is an abundant number, since it is smaller than the sum of its proper divisors (16639349374557).

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

13214215504035 is a wasteful number, since it uses less digits than its factorization.

13214215504035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31742 (or 31739 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 13214215504035 its reverse (53040551241231), we get a palindrome (66254766745266).

The spelling of 13214215504035 in words is "thirteen trillion, two hundred fourteen billion, two hundred fifteen million, five hundred four thousand, thirty-five".