13521310135121 has 2 divisors, whose sum is σ = 13521310135122. Its totient is φ = 13521310135120.

The previous prime is 13521310135103. The next prime is 13521310135189. The reversal of 13521310135121 is 12153101312531.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8429359928896 + 5091950206225 = 2903336^2 + 2256535^2 .

It is a cyclic number.

It is not a de Polignac number, because 13521310135121 - 2¹⁴ = 13521310118737 is a prime.

It is not a weakly prime, because it can be changed into another prime (13521310135721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6760655067560 + 6760655067561.

It is an arithmetic number, because the mean of its divisors is an integer number (6760655067561).

Almost surely, 2^{13521310135121} is an apocalyptic number.

It is an amenable number.

13521310135121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13521310135121 is an equidigital number, since it uses as much as digits as its factorization.

13521310135121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2700, while the sum is 29.

Adding to 13521310135121 its reverse (12153101312531), we get a palindrome (25674411447652).

The spelling of 13521310135121 in words is "thirteen trillion, five hundred twenty-one billion, three hundred ten million, one hundred thirty-five thousand, one hundred twenty-one".