13145333354131 has 16 divisors (see below), whose sum is σ = 14835100260960. Its totient is φ = 11538035953920.

The previous prime is 13145333354059. The next prime is 13145333354137.

13145333354131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13145333354131 - 2⁹ = 13145333353619 is a prime.

It is a super-2 number, since 2×13145333354131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13145333354137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21541981 + ... + 22143793.

It is an arithmetic number, because the mean of its divisors is an integer number (927193766310).

Almost surely, 2^{13145333354131} is an apocalyptic number.

13145333354131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13145333354131 is a deficient number, since it is larger than the sum of its proper divisors (1689766906829).

13145333354131 is a wasteful number, since it uses less digits than its factorization.

13145333354131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670326.

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

It can be divided in two parts, 1314533 and 3354131, that added together give a palindrome (4668664).

The spelling of 13145333354131 in words is "thirteen trillion, one hundred forty-five billion, three hundred thirty-three million, three hundred fifty-four thousand, one hundred thirty-one".