13121680171264 has 288 divisors, whose sum is σ = 31869639200000. Its totient is φ = 5266798018560.

The previous prime is 13121680171111. The next prime is 13121680171291. The reversal of 13121680171264 is 46217108612131.

It is a self number, because there is not a number n which added to its sum of digits gives 13121680171264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4125015754 + ... + 4125018934.

Almost surely, 2^{13121680171264} is an apocalyptic number.

13121680171264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121680171264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15934819600000).

13121680171264 is an abundant number, since it is smaller than the sum of its proper divisors (18747959028736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13121680171264 is a wasteful number, since it uses less digits than its factorization.

13121680171264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

Adding to 13121680171264 its reverse (46217108612131), we get a palindrome (59338788783395).

The spelling of 13121680171264 in words is "thirteen trillion, one hundred twenty-one billion, six hundred eighty million, one hundred seventy-one thousand, two hundred sixty-four".