13395516121 has 27 divisors (see below), whose sum is σ = 15071723901. Its totient is φ = 11899821024.

The previous prime is 13395516031. The next prime is 13395516137. The reversal of 13395516121 is 12161559331.

It is a happy number.

The square root of 13395516121 is 115739.

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 1717688025 + 11677828096 = 41445^2 + 108064^2 .

It is not a de Polignac number, because 13395516121 - 2¹¹ = 13395514073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13395516151) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43633450 + ... + 43633756.

Almost surely, 2^13395516121 is an apocalyptic number.

13395516121 is the 115739-th square number.

13395516121 is the 57870-th centered octagonal number.

It is an amenable number.

13395516121 is a deficient number, since it is larger than the sum of its proper divisors (1676207780).

13395516121 is an frugal number, since it uses more digits than its factorization.

13395516121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 349 counting only the distinct ones).

The product of its digits is 24300, while the sum is 37.

The spelling of 13395516121 in words is "thirteen billion, three hundred ninety-five million, five hundred sixteen thousand, one hundred twenty-one".