13133006354601 has 405 divisors, whose sum is σ = 24860334968469. Its totient is φ = 6888402259200.

The previous prime is 13133006354591. The next prime is 13133006354621. The reversal of 13133006354601 is 10645360033131.

The square root of 13133006354601 is 3623949.

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

13133006354601 is a `hidden beast` number, since 1 + 3 + 13 + 3 + 0 + 0 + 6 + 35 + 4 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11116549554201 + 2016456800400 = 3334149^2 + 1420020^2 .

It is not a de Polignac number, because 13133006354601 - 2⁵ = 13133006354569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13133006354621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 215295186111 + ... + 215295186171.

Almost surely, 2^{13133006354601} is an apocalyptic number.

13133006354601 is the 3623949-th square number.

13133006354601 is the 1811975-th centered octagonal number.

It is an amenable number.

13133006354601 is a deficient number, since it is larger than the sum of its proper divisors (11727328613868).

13133006354601 is an frugal number, since it uses more digits than its factorization.

13133006354601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Multiplying 13133006354601 by its sum of digits (36), we get a square (472788228765636 = 21743694²).

Adding to 13133006354601 its reverse (10645360033131), we get a palindrome (23778366387732).

The spelling of 13133006354601 in words is "thirteen trillion, one hundred thirty-three billion, six million, three hundred fifty-four thousand, six hundred one".