101165663331 has 24 divisors (see below), whose sum is σ = 147865601520. Its totient is φ = 66644520000.

The previous prime is 101165663327. The next prime is 101165663393. The reversal of 101165663331 is 133366561101.

101165663331 is a `hidden beast` number, since 1 + 0 + 1 + 16 + 5 + 6 + 633 + 3 + 1 = 666.

It is not a de Polignac number, because 101165663331 - 2² = 101165663327 is a prime.

It is a super-2 number, since 2×101165663331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101165663311) 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 23 ways as a sum of consecutive naturals, for example, 353356 + ... + 572006.

It is an arithmetic number, because the mean of its divisors is an integer number (6161066730).

Almost surely, 2^101165663331 is an apocalyptic number.

101165663331 is a deficient number, since it is larger than the sum of its proper divisors (46699938189).

101165663331 is a wasteful number, since it uses less digits than its factorization.

101165663331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219267 (or 219264 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 101165663331 in words is "one hundred one billion, one hundred sixty-five million, six hundred sixty-three thousand, three hundred thirty-one".