101000031 has 12 divisors (see below), whose sum is σ = 148022616. Its totient is φ = 61211920.

The previous prime is 101000027. The next prime is 101000051. The reversal of 101000031 is 130000101.

It is not a de Polignac number, because 101000031 - 2² = 101000027 is a prime.

It is a super-2 number, since 2×101000031² = 20402012524001922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100999983 and 101000019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000051) 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 11 ways as a sum of consecutive naturals, for example, 138756 + ... + 139481.

It is an arithmetic number, because the mean of its divisors is an integer number (12335218).

Almost surely, 2^101000031 is an apocalyptic number.

101000031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101000031 is a deficient number, since it is larger than the sum of its proper divisors (47022585).

101000031 is a wasteful number, since it uses less digits than its factorization.

101000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278262 (or 278251 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 101000031 is about 10049.8771634284. The cubic root of 101000031 is about 465.7009984264.

Adding to 101000031 its reverse (130000101), we get a palindrome (231000132).

The spelling of 101000031 in words is "one hundred one million, thirty-one", and thus it is an aban number.