13045838816241 has 72 divisors (see below), whose sum is σ = 23672937404480. Its totient is φ = 6776730164160.

The previous prime is 13045838816239. The next prime is 13045838816279. The reversal of 13045838816241 is 14261883854031.

It is a happy number.

13045838816241 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 5 + 8 + 3 + 8 + 8 + 1 + 624 + 1 = 666.

It is not a de Polignac number, because 13045838816241 - 2¹ = 13045838816239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13045838816041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 288225870 + ... + 288271128.

Almost surely, 2^{13045838816241} is an apocalyptic number.

13045838816241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13045838816241 is a deficient number, since it is larger than the sum of its proper divisors (10627098588239).

13045838816241 is a wasteful number, since it uses less digits than its factorization.

13045838816241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83107 (or 83093 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 13045838816241 in words is "thirteen trillion, forty-five billion, eight hundred thirty-eight million, eight hundred sixteen thousand, two hundred forty-one".