101100031312 has 80 divisors (see below), whose sum is σ = 231197345280. Its totient is φ = 41930025984.

The previous prime is 101100031283. The next prime is 101100031349. The reversal of 101100031312 is 213130001101.

It is a junction number, because it is equal to n+sod(n) for n = 101100031292 and 101100031301.

It is a congruent number.

It is an unprimeable number.

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, 360598 + ... + 576394.

It is an arithmetic number, because the mean of its divisors is an integer number (2889966816).

Almost surely, 2^101100031312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115598672640).

101100031312 is an abundant number, since it is smaller than the sum of its proper divisors (130097313968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101100031312 is a wasteful number, since it uses less digits than its factorization.

101100031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215948 (or 215942 counting only the distinct ones).

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

Adding to 101100031312 its reverse (213130001101), we get a palindrome (314230032413).

The spelling of 101100031312 in words is "one hundred one billion, one hundred million, thirty-one thousand, three hundred twelve".