133411215226311 has 160 divisors (see below), whose sum is σ = 220561076736000. Its totient is φ = 79694153925120.

The previous prime is 133411215226301. The next prime is 133411215226447. The reversal of 133411215226311 is 113622512114331.

133411215226311 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 1 + 1 + 2 + 15 + 2 + 2 + 631 + 1 = 666.

It is not a de Polignac number, because 133411215226311 - 2⁵ = 133411215226279 is a prime.

It is a super-2 number, since 2×133411215226311² (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 (133411215226301) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10181723986 + ... + 10181737088.

It is an arithmetic number, because the mean of its divisors is an integer number (1378506729600).

Almost surely, 2^{133411215226311} is an apocalyptic number.

133411215226311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133411215226311 is a deficient number, since it is larger than the sum of its proper divisors (87149861509689).

133411215226311 is a wasteful number, since it uses less digits than its factorization.

133411215226311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13851 (or 13842 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 133411215226311 in words is "one hundred thirty-three trillion, four hundred eleven billion, two hundred fifteen million, two hundred twenty-six thousand, three hundred eleven".