1113765733201 has 27 divisors (see below), whose sum is σ = 1258688578833. Its totient is φ = 984769125120.

The previous prime is 1113765733193. The next prime is 1113765733207. The reversal of 1113765733201 is 1023375673111.

The square root of 1113765733201 is 1055351.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 313993243201 + 799772490000 = 560351^2 + 894300^2 .

It is not a de Polignac number, because 1113765733201 - 2³ = 1113765733193 is a prime.

It is a super-3 number, since 3×1113765733201³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1113765733207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 429526561 + ... + 429529153.

Almost surely, 2^{1113765733201} is an apocalyptic number.

1113765733201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1113765733201 is the 1055351-st square number.

1113765733201 is the 527676-th centered octagonal number.

It is an amenable number.

1113765733201 is a deficient number, since it is larger than the sum of its proper divisors (144922845632).

1113765733201 is an frugal number, since it uses more digits than its factorization.

1113765733201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The spelling of 1113765733201 in words is "one trillion, one hundred thirteen billion, seven hundred sixty-five million, seven hundred thirty-three thousand, two hundred one".