13128347241 has 45 divisors (see below), whose sum is σ = 20357430951. Its totient is φ = 8431181136.

The previous prime is 13128347233. The next prime is 13128347273. The reversal of 13128347241 is 14274382131.

The square root of 13128347241 is 114579.

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

13128347241 is a `hidden beast` number, since 131 + 283 + 4 + 7 + 241 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6884186841 + 6244160400 = 82971^2 + 79020^2 .

It is not a de Polignac number, because 13128347241 - 2³ = 13128347233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13128347196 and 13128347205.

It is not an unprimeable number, because it can be changed into a prime (13128347341) 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, 29904900 + ... + 29905338.

Almost surely, 2^13128347241 is an apocalyptic number.

13128347241 is the 114579-th square number.

13128347241 is the 57290-th centered octagonal number.

It is an amenable number.

13128347241 is a deficient number, since it is larger than the sum of its proper divisors (7229083710).

13128347241 is an frugal number, since it uses more digits than its factorization.

13128347241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 471 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

Multiplying 13128347241 by its sum of digits (36), we get a square (472620500676 = 687474²).

The spelling of 13128347241 in words is "thirteen billion, one hundred twenty-eight million, three hundred forty-seven thousand, two hundred forty-one".