101031 has 16 divisors (see below), whose sum is σ = 163584. Its totient is φ = 54144.

The previous prime is 101027. The next prime is 101051. The reversal of 101031 is 130101.

It is not a de Polignac number, because 101031 - 2² = 101027 is a prime.

It is a super-2 number, since 2×101031² = 20414525922, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101031.

It is not an unprimeable number, because it can be changed into a prime (101021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216 + ... + 498.

It is an arithmetic number, because the mean of its divisors is an integer number (10224).

2¹⁰¹⁰³¹ is an apocalyptic number.

101031 is a deficient number, since it is larger than the sum of its proper divisors (62553).

101031 is a wasteful number, since it uses less digits than its factorization.

101031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310.

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

The square root of 101031 is about 317.8537399497. The cubic root of 101031 is about 46.5748591878.

Adding to 101031 its reverse (130101), we get a palindrome (231132).

The spelling of 101031 in words is "one hundred one thousand, thirty-one".