133021334134013 has 16 divisors (see below), whose sum is σ = 143778491549616. Its totient is φ = 122339785466880.

The previous prime is 133021334134009. The next prime is 133021334134019. The reversal of 133021334134013 is 310431433120331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3974528678884 + 129046805455129 = 1993622^2 + 11359877^2 .

It is a cyclic number.

It is not a de Polignac number, because 133021334134013 - 2² = 133021334134009 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 (133021334134019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8483420 + ... + 18385077.

It is an arithmetic number, because the mean of its divisors is an integer number (8986155721851).

Almost surely, 2^{133021334134013} is an apocalyptic number.

133021334134013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133021334134013 is a deficient number, since it is larger than the sum of its proper divisors (10757157415603).

133021334134013 is a wasteful number, since it uses less digits than its factorization.

133021334134013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26869904.

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 133021334134013 its reverse (310431433120331), we get a palindrome (443452767254344).

The spelling of 133021334134013 in words is "one hundred thirty-three trillion, twenty-one billion, three hundred thirty-four million, one hundred thirty-four thousand, thirteen".