13530311353 has 8 divisors (see below), whose sum is σ = 14573484296. Its totient is φ = 12487478400.

The previous prime is 13530311351. The next prime is 13530311359. The reversal of 13530311353 is 35311303531.

13530311353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 671431744 + 12858879609 = 25912^2 + 113397^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13530311353 - 2¹ = 13530311351 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13530311351) 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 7 ways as a sum of consecutive naturals, for example, 883 + ... + 164503.

It is an arithmetic number, because the mean of its divisors is an integer number (1821685537).

Almost surely, 2^13530311353 is an apocalyptic number.

13530311353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13530311353 is a deficient number, since it is larger than the sum of its proper divisors (1043172943).

13530311353 is a wasteful number, since it uses less digits than its factorization.

13530311353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169995.

The product of its (nonzero) digits is 6075, while the sum is 28.

Adding to 13530311353 its reverse (35311303531), we get a palindrome (48841614884).

The spelling of 13530311353 in words is "thirteen billion, five hundred thirty million, three hundred eleven thousand, three hundred fifty-three".