11465016000013 has 16 divisors (see below), whose sum is σ = 11507188010560. Its totient is φ = 11422914451200.

The previous prime is 11465016000007. The next prime is 11465016000023. The reversal of 11465016000013 is 31000061056411.

11465016000013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11465016000013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11465016000023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2076616693 + ... + 2076622213.

It is an arithmetic number, because the mean of its divisors is an integer number (719199250660).

Almost surely, 2^{11465016000013} is an apocalyptic number.

It is an amenable number.

11465016000013 is a deficient number, since it is larger than the sum of its proper divisors (42172010547).

11465016000013 is a wasteful number, since it uses less digits than its factorization.

11465016000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10588.

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 11465016000013 its reverse (31000061056411), we get a palindrome (42465077056424).

The spelling of 11465016000013 in words is "eleven trillion, four hundred sixty-five billion, sixteen million, thirteen", and thus it is an aban number.