101132102331 has 24 divisors (see below), whose sum is σ = 161568410640. Its totient is φ = 60553106496.

The previous prime is 101132102327. The next prime is 101132102333. The reversal of 101132102331 is 133201231101.

101132102331 is a `hidden beast` number, since 1 + 0 + 11 + 321 + 0 + 2 + 331 = 666.

It is not a de Polignac number, because 101132102331 - 2² = 101132102327 is a prime.

It is a super-2 number, since 2×101132102331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101132102333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11676441 + ... + 11685098.

It is an arithmetic number, because the mean of its divisors is an integer number (6732017110).

Almost surely, 2^101132102331 is an apocalyptic number.

101132102331 is a deficient number, since it is larger than the sum of its proper divisors (60436308309).

101132102331 is a wasteful number, since it uses less digits than its factorization.

101132102331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23361595 (or 23361592 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101132102331 its reverse (133201231101), we get a palindrome (234333333432).

The spelling of 101132102331 in words is "one hundred one billion, one hundred thirty-two million, one hundred two thousand, three hundred thirty-one".