101111132331 has 16 divisors (see below), whose sum is σ = 163411931520. Its totient is φ = 61279473960.

The previous prime is 101111132323. The next prime is 101111132351. The reversal of 101111132331 is 133231111101.

It is not a de Polignac number, because 101111132331 - 2³ = 101111132323 is a prime.

It is a super-2 number, since 2×101111132331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101111132351) 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 15 ways as a sum of consecutive naturals, for example, 170220465 + ... + 170221058.

It is an arithmetic number, because the mean of its divisors is an integer number (10213245720).

Almost surely, 2^101111132331 is an apocalyptic number.

101111132331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101111132331 is a deficient number, since it is larger than the sum of its proper divisors (62300799189).

101111132331 is a wasteful number, since it uses less digits than its factorization.

101111132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340441543 (or 340441537 counting only the distinct ones).

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

Adding to 101111132331 its reverse (133231111101), we get a palindrome (234342243432).

The spelling of 101111132331 in words is "one hundred one billion, one hundred eleven million, one hundred thirty-two thousand, three hundred thirty-one".