13113411345 has 48 divisors (see below), whose sum is σ = 22875652800. Its totient is φ = 6949111680.

The previous prime is 13113411287. The next prime is 13113411403. The reversal of 13113411345 is 54311431131.

13113411345 is a `hidden beast` number, since 1 + 311 + 3 + 4 + 1 + 1 + 345 = 666.

13113411345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13113411287) and next prime (13113411403).

It is not a de Polignac number, because 13113411345 - 2¹⁶ = 13113345809 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6790030 + ... + 6791960.

It is an arithmetic number, because the mean of its divisors is an integer number (476576100).

Almost surely, 2^13113411345 is an apocalyptic number.

13113411345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13113411345 is a deficient number, since it is larger than the sum of its proper divisors (9762241455).

13113411345 is a wasteful number, since it uses less digits than its factorization.

13113411345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2827 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

Adding to 13113411345 its reverse (54311431131), we get a palindrome (67424842476).

The spelling of 13113411345 in words is "thirteen billion, one hundred thirteen million, four hundred eleven thousand, three hundred forty-five".