13500193896121 has 9 divisors (see below), whose sum is σ = 14341102775661. Its totient is φ = 12706006055232.

The previous prime is 13500193896113. The next prime is 13500193896127. The reversal of 13500193896121 is 12169839100531.

It is a happy number.

The square root of 13500193896121 is 3674261.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8282532887721 + 5217661008400 = 2877939^2 + 2284220^2 .

It is not a de Polignac number, because 13500193896121 - 2³ = 13500193896113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13500193896127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 62354371 + ... + 62570503.

Almost surely, 2^{13500193896121} is an apocalyptic number.

13500193896121 is the 3674261-st square number.

13500193896121 is the 1837131-st centered octagonal number.

It is an amenable number.

13500193896121 is a deficient number, since it is larger than the sum of its proper divisors (840908879540).

13500193896121 is an frugal number, since it uses more digits than its factorization.

13500193896121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432300 (or 216150 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 49.

Multiplying 13500193896121 by its sum of digits (49), we get a square (661509500909929 = 25719827²).

The spelling of 13500193896121 in words is "thirteen trillion, five hundred billion, one hundred ninety-three million, eight hundred ninety-six thousand, one hundred twenty-one".