11515136015133 has 64 divisors (see below), whose sum is σ = 17581657697280. Its totient is φ = 7444792664064.

The previous prime is 11515136015101. The next prime is 11515136015179. The reversal of 11515136015133 is 33151063151511.

11515136015133 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 5 + 13 + 601 + 5 + 1 + 33 = 666.

It is not a de Polignac number, because 11515136015133 - 2⁵ = 11515136015101 is a prime.

It is a super-4 number, since 4×11515136015133⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11515136015183) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 612725985 + ... + 612744777.

It is an arithmetic number, because the mean of its divisors is an integer number (274713401520).

Almost surely, 2^{11515136015133} is an apocalyptic number.

It is an amenable number.

11515136015133 is a deficient number, since it is larger than the sum of its proper divisors (6066521682147).

11515136015133 is a wasteful number, since it uses less digits than its factorization.

11515136015133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23235 (or 23229 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

Adding to 11515136015133 its reverse (33151063151511), we get a palindrome (44666199166644).

The spelling of 11515136015133 in words is "eleven trillion, five hundred fifteen billion, one hundred thirty-six million, fifteen thousand, one hundred thirty-three".