133113210100101 has 36 divisors (see below), whose sum is σ = 241535080966816. Its totient is φ = 69149719528560.

The previous prime is 133113210100097. The next prime is 133113210100121. The reversal of 133113210100101 is 101001012311331.

133113210100101 is a `hidden beast` number, since 1 + 331 + 1 + 321 + 0 + 1 + 0 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 133113210100101 - 2² = 133113210100097 is a prime.

It is a super-3 number, since 3×133113210100101³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133113210100121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8731017571 + ... + 8731032816.

Almost surely, 2^{133113210100101} is an apocalyptic number.

133113210100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133113210100101 is a deficient number, since it is larger than the sum of its proper divisors (108421870866715).

133113210100101 is a wasteful number, since it uses less digits than its factorization.

133113210100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17462050422 (or 17462050408 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 133113210100101 its reverse (101001012311331), we get a palindrome (234114222411432).

The spelling of 133113210100101 in words is "one hundred thirty-three trillion, one hundred thirteen billion, two hundred ten million, one hundred thousand, one hundred one".