133113331311 has 16 divisors (see below), whose sum is σ = 182292376704. Its totient is φ = 86338544544.

The previous prime is 133113331301. The next prime is 133113331331. The reversal of 133113331311 is 113133311331.

It is not a de Polignac number, because 133113331311 - 2¹⁴ = 133113314927 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133113331301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2778220 + ... + 2825726.

It is an arithmetic number, because the mean of its divisors is an integer number (11393273544).

Almost surely, 2^133113331311 is an apocalyptic number.

133113331311 is a deficient number, since it is larger than the sum of its proper divisors (49179045393).

133113331311 is a wasteful number, since it uses less digits than its factorization.

133113331311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72790.

The product of its digits is 729, while the sum is 24.

Adding to 133113331311 its reverse (113133311331), we get a palindrome (246246642642).

The spelling of 133113331311 in words is "one hundred thirty-three billion, one hundred thirteen million, three hundred thirty-one thousand, three hundred eleven".