101123031 has 16 divisors (see below), whose sum is σ = 138035456. Its totient is φ = 65831616.

The previous prime is 101123027. The next prime is 101123059. The reversal of 101123031 is 130321101.

It is not a de Polignac number, because 101123031 - 2² = 101123027 is a prime.

It is a super-2 number, since 2×101123031² = 20451734797253922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101122998 and 101123016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101123431) 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, 20316 + ... + 24798.

It is an arithmetic number, because the mean of its divisors is an integer number (8627216).

Almost surely, 2^101123031 is an apocalyptic number.

101123031 is a deficient number, since it is larger than the sum of its proper divisors (36912425).

101123031 is a wasteful number, since it uses less digits than its factorization.

101123031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101123031 is about 10055.9947792349. The cubic root of 101123031 is about 465.8899686184.

Adding to 101123031 its reverse (130321101), we get a palindrome (231444132).

It can be divided in two parts, 1011 and 23031, that added together give a palindrome (24042).

The spelling of 101123031 in words is "one hundred one million, one hundred twenty-three thousand, thirty-one".