11310535201 has 9 divisors (see below), whose sum is σ = 13158019251. Its totient is φ = 9694106352.

The previous prime is 11310535193. The next prime is 11310535207. The reversal of 11310535201 is 10253501311.

The square root of 11310535201 is 106351.

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

It can be written as a sum of positive squares in only one way, i.e., 11120757025 + 189778176 = 105455^2 + 13776^2 .

It is not a de Polignac number, because 11310535201 - 2³ = 11310535193 is a prime.

It is a super-2 number, since 2×11310535201² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11310535207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 736861 + ... + 752053.

It is an arithmetic number, because the mean of its divisors is an integer number (1462002139).

Almost surely, 2^11310535201 is an apocalyptic number.

11310535201 is the 106351-st square number.

11310535201 is the 53176-th centered octagonal number.

It is an amenable number.

11310535201 is a deficient number, since it is larger than the sum of its proper divisors (1847484050).

11310535201 is an frugal number, since it uses more digits than its factorization.

11310535201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30400 (or 15200 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The spelling of 11310535201 in words is "eleven billion, three hundred ten million, five hundred thirty-five thousand, two hundred one".