133101001112211 has 24 divisors (see below), whose sum is σ = 218853820014336. Its totient is φ = 77160000643440.

The previous prime is 133101001112201. The next prime is 133101001112213. The reversal of 133101001112211 is 112211100101331.

133101001112211 is a `hidden beast` number, since 1 + 331 + 0 + 1 + 0 + 0 + 111 + 221 + 1 = 666.

It is not a de Polignac number, because 133101001112211 - 2¹⁰ = 133101001111187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133101001112213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29227270695 + ... + 29227275248.

It is an arithmetic number, because the mean of its divisors is an integer number (9118909167264).

Almost surely, 2^{133101001112211} is an apocalyptic number.

133101001112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133101001112211 is a deficient number, since it is larger than the sum of its proper divisors (85752818902125).

133101001112211 is a wasteful number, since it uses less digits than its factorization.

133101001112211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58454545983 (or 58454545980 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 133101001112211 its reverse (112211100101331), we get a palindrome (245312101213542).

The spelling of 133101001112211 in words is "one hundred thirty-three trillion, one hundred one billion, one million, one hundred twelve thousand, two hundred eleven".