13453448121 has 45 divisors (see below), whose sum is σ = 20822255545. Its totient is φ = 8369766240.

The previous prime is 13453448101. The next prime is 13453448131. The reversal of 13453448121 is 12184435431.

The square root of 13453448121 is 115989.

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

It can be written as a sum of positive squares in 2 ways, for example, as 10985345721 + 2468102400 = 104811^2 + 49680^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13453448121 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13453448101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 328132861 + ... + 328132901.

Almost surely, 2^13453448121 is an apocalyptic number.

13453448121 is the 115989-th square number.

13453448121 is the 57995-th centered octagonal number.

It is an amenable number.

13453448121 is a deficient number, since it is larger than the sum of its proper divisors (7368807424).

13453448121 is an frugal number, since it uses more digits than its factorization.

13453448121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 67 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Multiplying 13453448121 by its sum of digits (36), we get a square (484324132356 = 695934²).

The spelling of 13453448121 in words is "thirteen billion, four hundred fifty-three million, four hundred forty-eight thousand, one hundred twenty-one".