101330031 has 16 divisors (see below), whose sum is σ = 152472960. Its totient is φ = 59293920.

The previous prime is 101330017. The next prime is 101330039. The reversal of 101330031 is 130033101.

It is not a de Polignac number, because 101330031 - 2⁹ = 101329519 is a prime.

It is a super-2 number, since 2×101330031² = 20535550364921922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101329989 and 101330016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101330039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51985 + ... + 53898.

It is an arithmetic number, because the mean of its divisors is an integer number (9529560).

Almost surely, 2^101330031 is an apocalyptic number.

101330031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101330031 is a deficient number, since it is larger than the sum of its proper divisors (51142929).

101330031 is a wasteful number, since it uses less digits than its factorization.

101330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105926.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 101330031 is about 10066.2818855822. The cubic root of 101330031 is about 466.2076459837.

Adding to 101330031 its reverse (130033101), we get a palindrome (231363132).

The spelling of 101330031 in words is "one hundred one million, three hundred thirty thousand, thirty-one".