133331133013 has 16 divisors (see below), whose sum is σ = 144669527856. Its totient is φ = 122147758080.

The previous prime is 133331132981. The next prime is 133331133017. The reversal of 133331133013 is 310331133331.

It can be written as a sum of positive squares in 8 ways, for example, as 75835245924 + 57495887089 = 275382^2 + 239783^2 .

It is a cyclic number.

It is not a de Polignac number, because 133331133013 - 2⁵ = 133331132981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133331133017) 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 15 ways as a sum of consecutive naturals, for example, 12677245 + ... + 12687757.

It is an arithmetic number, because the mean of its divisors is an integer number (9041845491).

Almost surely, 2^133331133013 is an apocalyptic number.

133331133013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133331133013 is a deficient number, since it is larger than the sum of its proper divisors (11338394843).

133331133013 is a wasteful number, since it uses less digits than its factorization.

133331133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17784.

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 133331133013 its reverse (310331133331), we get a palindrome (443662266344).

The spelling of 133331133013 in words is "one hundred thirty-three billion, three hundred thirty-one million, one hundred thirty-three thousand, thirteen".