133053346305 has 96 divisors (see below), whose sum is σ = 261086192640. Its totient is φ = 64467161280.

The previous prime is 133053346301. The next prime is 133053346331. The reversal of 133053346305 is 503643350331.

133053346305 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 5 + 3 + 346 + 305 = 666.

It is not a de Polignac number, because 133053346305 - 2² = 133053346301 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 133053346305.

It is not an unprimeable number, because it can be changed into a prime (133053346301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29440836 + ... + 29445354.

It is an arithmetic number, because the mean of its divisors is an integer number (2719647840).

Almost surely, 2^133053346305 is an apocalyptic number.

133053346305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133053346305 is a deficient number, since it is larger than the sum of its proper divisors (128032846335).

133053346305 is a wasteful number, since it uses less digits than its factorization.

133053346305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6741 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 36.

Adding to 133053346305 its reverse (503643350331), we get a palindrome (636696696636).

The spelling of 133053346305 in words is "one hundred thirty-three billion, fifty-three million, three hundred forty-six thousand, three hundred five".