13201345331145 has 12 divisors (see below), whose sum is σ = 22882331907396. Its totient is φ = 7040717509920.

The previous prime is 13201345331131. The next prime is 13201345331173. The reversal of 13201345331145 is 54113354310231.

13201345331145 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 3 + 4 + 533 + 114 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2551546190736 + 10649799140409 = 1597356^2 + 3263403^2 .

It is not a de Polignac number, because 13201345331145 - 2⁴ = 13201345331129 is a prime.

It is a super-2 number, since 2×13201345331145² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146681614746 + ... + 146681614835.

It is an arithmetic number, because the mean of its divisors is an integer number (1906860992283).

Almost surely, 2^{13201345331145} is an apocalyptic number.

13201345331145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13201345331145 is a deficient number, since it is larger than the sum of its proper divisors (9680986576251).

13201345331145 is a wasteful number, since it uses less digits than its factorization.

13201345331145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293363229592 (or 293363229589 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 13201345331145 its reverse (54113354310231), we get a palindrome (67314699641376).

The spelling of 13201345331145 in words is "thirteen trillion, two hundred one billion, three hundred forty-five million, three hundred thirty-one thousand, one hundred forty-five".