13132314211005 has 96 divisors (see below), whose sum is σ = 25678911202560. Its totient is φ = 6362906140800.

The previous prime is 13132314210991. The next prime is 13132314211031. The reversal of 13132314211005 is 50011241323131.

13132314211005 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 231 + 421 + 1 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 13132314211005 - 2⁴ = 13132314210989 is a prime.

It is a super-2 number, since 2×13132314211005² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13132314211005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24118920 + ... + 24657390.

It is an arithmetic number, because the mean of its divisors is an integer number (267488658360).

Almost surely, 2^{13132314211005} is an apocalyptic number.

13132314211005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13132314211005 is a deficient number, since it is larger than the sum of its proper divisors (12546596991555).

13132314211005 is a wasteful number, since it uses less digits than its factorization.

13132314211005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540000 (or 539983 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 13132314211005 its reverse (50011241323131), we get a palindrome (63143555534136).

The spelling of 13132314211005 in words is "thirteen trillion, one hundred thirty-two billion, three hundred fourteen million, two hundred eleven thousand, five".