101123131 has 4 divisors (see below), whose sum is σ = 101526264. Its totient is φ = 100720000.

The previous prime is 101123129. The next prime is 101123137. The reversal of 101123131 is 131321101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 101123131 - 2¹ = 101123129 is a prime.

It is a super-2 number, since 2×101123131² = 20451775246486322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101123137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 201190 + ... + 201691.

It is an arithmetic number, because the mean of its divisors is an integer number (25381566).

Almost surely, 2^101123131 is an apocalyptic number.

101123131 is a deficient number, since it is larger than the sum of its proper divisors (403133).

101123131 is an equidigital number, since it uses as much as digits as its factorization.

101123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403132.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 101123131 is about 10055.9997513922. Note that the first 3 decimals coincide. The cubic root of 101123131 is about 465.8901221903.

Adding to 101123131 its reverse (131321101), we get a palindrome (232444232).

It can be divided in two parts, 1011 and 23131, that added together give a palindrome (24142).

The spelling of 101123131 in words is "one hundred one million, one hundred twenty-three thousand, one hundred thirty-one".