10211031312 has 80 divisors (see below), whose sum is σ = 27462498240. Its totient is φ = 3265307136.

The previous prime is 10211031289. The next prime is 10211031329. The reversal of 10211031312 is 21313011201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10211031291 and 10211031300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195183 + ... + 241905.

It is an arithmetic number, because the mean of its divisors is an integer number (343281228).

Almost surely, 2^10211031312 is an apocalyptic number.

10211031312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13731249120).

10211031312 is an abundant number, since it is smaller than the sum of its proper divisors (17251466928).

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

10211031312 is a wasteful number, since it uses less digits than its factorization.

10211031312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46920 (or 46914 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10211031312 its reverse (21313011201), we get a palindrome (31524042513).

The spelling of 10211031312 in words is "ten billion, two hundred eleven million, thirty-one thousand, three hundred twelve".