13354188145331 has 16 divisors (see below), whose sum is σ = 15335074659840. Its totient is φ = 11501123346720.

The previous prime is 13354188145327. The next prime is 13354188145381.

13354188145331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13354188145331 - 2² = 13354188145327 is a prime.

It is a super-2 number, since 2×13354188145331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13354188145331.

It is not an unprimeable number, because it can be changed into a prime (13354188145381) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48413801 + ... + 48688853.

It is an arithmetic number, because the mean of its divisors is an integer number (958442166240).

Almost surely, 2^{13354188145331} is an apocalyptic number.

13354188145331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13354188145331 is a deficient number, since it is larger than the sum of its proper divisors (1980886514509).

13354188145331 is a wasteful number, since it uses less digits than its factorization.

13354188145331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507386.

The product of its digits is 2073600, while the sum is 50.

The spelling of 13354188145331 in words is "thirteen trillion, three hundred fifty-four billion, one hundred eighty-eight million, one hundred forty-five thousand, three hundred thirty-one".