11781584087013 has 12 divisors (see below), whose sum is σ = 18326908579980. Its totient is φ = 7250205591936.

The previous prime is 11781584086991. The next prime is 11781584087023. The reversal of 11781584087013 is 31078048518711.

11781584087013 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 158 + 408 + 70 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4978423012644 + 6803161074369 = 2231238^2 + 2608287^2 .

It is not a de Polignac number, because 11781584087013 - 2⁹ = 11781584086501 is a prime.

It is a super-3 number, since 3×11781584087013³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11781584087023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50348649828 + ... + 50348650061.

It is an arithmetic number, because the mean of its divisors is an integer number (1527242381665).

Almost surely, 2^{11781584087013} is an apocalyptic number.

11781584087013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11781584087013 is a deficient number, since it is larger than the sum of its proper divisors (6545324492967).

11781584087013 is a wasteful number, since it uses less digits than its factorization.

11781584087013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100697299908 (or 100697299905 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 54.

The spelling of 11781584087013 in words is "eleven trillion, seven hundred eighty-one billion, five hundred eighty-four million, eighty-seven thousand, thirteen".