101310301120 has 112 divisors (see below), whose sum is σ = 277138473408. Its totient is φ = 34554839040.

The previous prime is 101310301067. The next prime is 101310301129. The reversal of 101310301120 is 21103013101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×101310301120³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 101310301120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310301129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315150 + ... + 549490.

Almost surely, 2^101310301120 is an apocalyptic number.

101310301120 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 101310301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138569236704).

101310301120 is an abundant number, since it is smaller than the sum of its proper divisors (175828172288).

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

101310301120 is a wasteful number, since it uses less digits than its factorization.

101310301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234558 (or 234548 counting only the distinct ones).

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

Adding to 101310301120 its reverse (21103013101), we get a palindrome (122413314221).

The spelling of 101310301120 in words is "one hundred one billion, three hundred ten million, three hundred one thousand, one hundred twenty".