133113201010311 has 16 divisors (see below), whose sum is σ = 179162972489088. Its totient is φ = 87902966704800.

The previous prime is 133113201010211. The next prime is 133113201010333. The reversal of 133113201010311 is 113010102311331.

It is not a de Polignac number, because 133113201010311 - 2¹⁰ = 133113201009287 is a prime.

It is a super-2 number, since 2×133113201010311² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133113201010211) 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 15 ways as a sum of consecutive naturals, for example, 20232720 + ... + 25992101.

It is an arithmetic number, because the mean of its divisors is an integer number (11197685780568).

Almost surely, 2^{133113201010311} is an apocalyptic number.

133113201010311 is a deficient number, since it is larger than the sum of its proper divisors (46049771478777).

133113201010311 is a wasteful number, since it uses less digits than its factorization.

133113201010311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46233902.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 133113201010311 its reverse (113010102311331), we get a palindrome (246123303321642).

The spelling of 133113201010311 in words is "one hundred thirty-three trillion, one hundred thirteen billion, two hundred one million, ten thousand, three hundred eleven".