135313306561 has 2 divisors, whose sum is σ = 135313306562. Its totient is φ = 135313306560.

The previous prime is 135313306489. The next prime is 135313306567. The reversal of 135313306561 is 165603313531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133403179536 + 1910127025 = 365244^2 + 43705^2 .

It is an emirp because it is prime and its reverse (165603313531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135313306561 - 2⁹ = 135313306049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135313306561.

It is not a weakly prime, because it can be changed into another prime (135313306567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67656653280 + 67656653281.

It is an arithmetic number, because the mean of its divisors is an integer number (67656653281).

Almost surely, 2^135313306561 is an apocalyptic number.

It is an amenable number.

135313306561 is a deficient number, since it is larger than the sum of its proper divisors (1).

135313306561 is an equidigital number, since it uses as much as digits as its factorization.

135313306561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72900, while the sum is 37.

The spelling of 135313306561 in words is "one hundred thirty-five billion, three hundred thirteen million, three hundred six thousand, five hundred sixty-one".