13006417137164 has 48 divisors (see below), whose sum is σ = 25910757653760. Its totient is φ = 5654802267840.

The previous prime is 13006417137121. The next prime is 13006417137211. The reversal of 13006417137164 is 46173171460031.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39444482 + ... + 39772854.

It is an arithmetic number, because the mean of its divisors is an integer number (539807451120).

Almost surely, 2^{13006417137164} is an apocalyptic number.

It is an amenable number.

13006417137164 is a deficient number, since it is larger than the sum of its proper divisors (12904340516596).

13006417137164 is a wasteful number, since it uses less digits than its factorization.

13006417137164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367550 (or 367548 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

Adding to 13006417137164 its reverse (46173171460031), we get a palindrome (59179588597195).

The spelling of 13006417137164 in words is "thirteen trillion, six billion, four hundred seventeen million, one hundred thirty-seven thousand, one hundred sixty-four".