133706216281 has 32 divisors (see below), whose sum is σ = 151837581312. Its totient is φ = 116640000000.

The previous prime is 133706216279. The next prime is 133706216309. The reversal of 133706216281 is 182612607331.

It is a 7-Lehmer number, since φ(133706216281) divides (133706216281-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 133706216281 - 2¹ = 133706216279 is a prime.

It is a super-2 number, since 2×133706216281² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133706216201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33003706 + ... + 33007756.

It is an arithmetic number, because the mean of its divisors is an integer number (4744924416).

Almost surely, 2^133706216281 is an apocalyptic number.

133706216281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133706216281 is the 163528-th centered decagonal number.

It is an amenable number.

133706216281 is a deficient number, since it is larger than the sum of its proper divisors (18131365031).

133706216281 is a wasteful number, since it uses less digits than its factorization.

133706216281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4885.

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 133706216281 in words is "one hundred thirty-three billion, seven hundred six million, two hundred sixteen thousand, two hundred eighty-one".