101311112320 has 192 divisors, whose sum is σ = 268872964920. Its totient is φ = 36472832000.

The previous prime is 101311112317. The next prime is 101311112339. The reversal of 101311112320 is 23211113101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 85408893504 + 15902218816 = 292248^2 + 126104^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101311112294 and 101311112303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7814964 + ... + 7827916.

Almost surely, 2^101311112320 is an apocalyptic number.

101311112320 is a gapful number since it is divisible by the number (10) 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 101311112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134436482460).

101311112320 is an abundant number, since it is smaller than the sum of its proper divisors (167561852600).

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

101311112320 is a wasteful number, since it uses less digits than its factorization.

101311112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13095 (or 13072 counting only the distinct ones).

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

Adding to 101311112320 its reverse (23211113101), we get a palindrome (124522225421).

The spelling of 101311112320 in words is "one hundred one billion, three hundred eleven million, one hundred twelve thousand, three hundred twenty".