14135333353141 has 128 divisors (see below), whose sum is σ = 19565099753472. Its totient is φ = 9858879360000.

The previous prime is 14135333353129. The next prime is 14135333353171.

14135333353141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14135333353141 - 2⁷ = 14135333353013 is a prime.

It is a super-2 number, since 2×14135333353141² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14135333353094 and 14135333353103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14135333353121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1427662291 + ... + 1427672191.

It is an arithmetic number, because the mean of its divisors is an integer number (152852341824).

Almost surely, 2^{14135333353141} is an apocalyptic number.

14135333353141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14135333353141 is a deficient number, since it is larger than the sum of its proper divisors (5429766400331).

14135333353141 is a wasteful number, since it uses less digits than its factorization.

14135333353141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10323.

The product of its digits is 291600, while the sum is 40.

It can be divided in two parts, 1413533 and 3353141, that added together give a palindrome (4766674).

The spelling of 14135333353141 in words is "fourteen trillion, one hundred thirty-five billion, three hundred thirty-three million, three hundred fifty-three thousand, one hundred forty-one".