13201345331505 has 48 divisors (see below), whose sum is σ = 22929313090320. Its totient is φ = 7026264230400.

The previous prime is 13201345331501. The next prime is 13201345331507. The reversal of 13201345331505 is 50513354310231.

13201345331505 is a `hidden beast` number, since 1 + 320 + 13 + 4 + 5 + 3 + 315 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2184416012529 + 11016929318976 = 1477977^2 + 3319176^2 .

It is not a de Polignac number, because 13201345331505 - 2² = 13201345331501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13201345331505.

It is not an unprimeable number, because it can be changed into a prime (13201345331501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388932835 + ... + 388966775.

It is an arithmetic number, because the mean of its divisors is an integer number (477694022715).

Almost surely, 2^{13201345331505} is an apocalyptic number.

13201345331505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13201345331505 is a deficient number, since it is larger than the sum of its proper divisors (9727967758815).

13201345331505 is a wasteful number, since it uses less digits than its factorization.

13201345331505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51442 (or 51439 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 13201345331505 its reverse (50513354310231), we get a palindrome (63714699641736).

The spelling of 13201345331505 in words is "thirteen trillion, two hundred one billion, three hundred forty-five million, three hundred thirty-one thousand, five hundred five".