66113343331101 has 96 divisors (see below), whose sum is σ = 105179144683392. Its totient is φ = 39685790177280.

The previous prime is 66113343330967. The next prime is 66113343331103. The reversal of 66113343331101 is 10113334331166.

66113343331101 is a `hidden beast` number, since 6 + 6 + 1 + 1 + 334 + 3 + 3 + 311 + 0 + 1 = 666.

It is not a de Polignac number, because 66113343331101 - 2¹⁰ = 66113343330077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66113343331103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13257134730 + ... + 13257139716.

It is an arithmetic number, because the mean of its divisors is an integer number (1095616090452).

Almost surely, 2^{66113343331101} is an apocalyptic number.

It is an amenable number.

66113343331101 is a deficient number, since it is larger than the sum of its proper divisors (39065801352291).

66113343331101 is a wasteful number, since it uses less digits than its factorization.

66113343331101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7963 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

Adding to 66113343331101 its reverse (10113334331166), we get a palindrome (76226677662267).

The spelling of 66113343331101 in words is "sixty-six trillion, one hundred thirteen billion, three hundred forty-three million, three hundred thirty-one thousand, one hundred one".