11331131232105 has 32 divisors (see below), whose sum is σ = 20162267798400. Its totient is φ = 6037859641536.

The previous prime is 11331131232103. The next prime is 11331131232143. The reversal of 11331131232105 is 50123213113311.

11331131232105 is a `hidden beast` number, since 1 + 1 + 3 + 311 + 312 + 32 + 1 + 0 + 5 = 666.

11331131232105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11331131232105 - 2¹ = 11331131232103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11331131232103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37420515 + ... + 37722104.

It is an arithmetic number, because the mean of its divisors is an integer number (630070868700).

Almost surely, 2^{11331131232105} is an apocalyptic number.

11331131232105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11331131232105 is a deficient number, since it is larger than the sum of its proper divisors (8831136566295).

11331131232105 is a wasteful number, since it uses less digits than its factorization.

11331131232105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75143750 (or 75143744 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 11331131232105 its reverse (50123213113311), we get a palindrome (61454344345416).

The spelling of 11331131232105 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, two hundred thirty-two thousand, one hundred five".