115242213541311 has 48 divisors (see below), whose sum is σ = 182464646208000. Its totient is φ = 69809347540800.

The previous prime is 115242213541283. The next prime is 115242213541333. The reversal of 115242213541311 is 113145312242511.

115242213541311 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 4 + 221 + 3 + 5 + 413 + 11 = 666.

It is not a de Polignac number, because 115242213541311 - 2¹³ = 115242213533119 is a prime.

It is a super-2 number, since 2×115242213541311² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115242213546311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76201531 + ... + 77699148.

It is an arithmetic number, because the mean of its divisors is an integer number (3801346796000).

Almost surely, 2^{115242213541311} is an apocalyptic number.

115242213541311 is a deficient number, since it is larger than the sum of its proper divisors (67222432666689).

115242213541311 is a wasteful number, since it uses less digits than its factorization.

115242213541311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153900884 (or 153900881 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 115242213541311 its reverse (113145312242511), we get a palindrome (228387525783822).

The spelling of 115242213541311 in words is "one hundred fifteen trillion, two hundred forty-two billion, two hundred thirteen million, five hundred forty-one thousand, three hundred eleven".