11513205142533 has 48 divisors (see below), whose sum is σ = 17297087808000. Its totient is φ = 7652818226160.

The previous prime is 11513205142531. The next prime is 11513205142561. The reversal of 11513205142533 is 33524150231511.

It is a happy number.

11513205142533 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 32 + 0 + 51 + 42 + 533 = 666.

It is not a de Polignac number, because 11513205142533 - 2¹ = 11513205142531 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11513205142531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116364318 + ... + 116463216.

It is an arithmetic number, because the mean of its divisors is an integer number (360355996000).

Almost surely, 2^{11513205142533} is an apocalyptic number.

It is an amenable number.

11513205142533 is a deficient number, since it is larger than the sum of its proper divisors (5783882665467).

11513205142533 is an frugal number, since it uses more digits than its factorization.

11513205142533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100324 (or 100312 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 11513205142533 in words is "eleven trillion, five hundred thirteen billion, two hundred five million, one hundred forty-two thousand, five hundred thirty-three".