13406662803121 has 81 divisors (see below), whose sum is σ = 17174008449507. Its totient is φ = 10432670062080.

The previous prime is 13406662803097. The next prime is 13406662803143. The reversal of 13406662803121 is 12130826660431.

The square root of 13406662803121 is 3661511.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1203266394225 + 12203396408896 = 1096935^2 + 3493336^2 .

It is not a de Polignac number, because 13406662803121 - 2⁷ = 13406662802993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13406662804121) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12635873931 + ... + 12635874991.

Almost surely, 2^{13406662803121} is an apocalyptic number.

13406662803121 is the 3661511-st square number.

13406662803121 is the 1830756-th centered octagonal number.

It is an amenable number.

13406662803121 is a deficient number, since it is larger than the sum of its proper divisors (3767345646386).

13406662803121 is an frugal number, since it uses more digits than its factorization.

13406662803121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 13406662803121 in words is "thirteen trillion, four hundred six billion, six hundred sixty-two million, eight hundred three thousand, one hundred twenty-one".