101131122031 has 8 divisors (see below), whose sum is σ = 102793182800. Its totient is φ = 99482411520.

The previous prime is 101131122019. The next prime is 101131122049. The reversal of 101131122031 is 130221131101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101131122031 - 2³³ = 92541187439 is a prime.

It is a super-2 number, since 2×101131122031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101131121996 and 101131122014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131120031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3322290 + ... + 3352591.

It is an arithmetic number, because the mean of its divisors is an integer number (12849147850).

Almost surely, 2^101131122031 is an apocalyptic number.

101131122031 is a deficient number, since it is larger than the sum of its proper divisors (1662060769).

101131122031 is a wasteful number, since it uses less digits than its factorization.

101131122031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6675129.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101131122031 its reverse (130221131101), we get a palindrome (231352253132).

The spelling of 101131122031 in words is "one hundred one billion, one hundred thirty-one million, one hundred twenty-two thousand, thirty-one".