113262115733 has 16 divisors (see below), whose sum is σ = 122538976560. Its totient is φ = 104066187264.

The previous prime is 113262115727. The next prime is 113262115763. The reversal of 113262115733 is 337511262311.

It can be written as a sum of positive squares in 8 ways, for example, as 19689141124 + 93572974609 = 140318^2 + 305897^2 .

It is not a de Polignac number, because 113262115733 - 2¹⁰ = 113262114709 is a prime.

It is a super-4 number, since 4×113262115733⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 113262115693 and 113262115702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113262115723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15120053 + ... + 15127541.

It is an arithmetic number, because the mean of its divisors is an integer number (7658686035).

Almost surely, 2^113262115733 is an apocalyptic number.

113262115733 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113262115733 is a deficient number, since it is larger than the sum of its proper divisors (9276860827).

113262115733 is a wasteful number, since it uses less digits than its factorization.

113262115733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12728.

The product of its digits is 22680, while the sum is 35.

The spelling of 113262115733 in words is "one hundred thirteen billion, two hundred sixty-two million, one hundred fifteen thousand, seven hundred thirty-three".