101312020320000 has 360 divisors, whose sum is σ = 385073493737856. Its totient is φ = 23157032448000.

The previous prime is 101312020319933. The next prime is 101312020320089. The reversal of 101312020320000 is 23020213101.

It is a super-2 number, since 2×101312020320000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11716194 + ... + 18436193.

Almost surely, 2^{101312020320000} is an apocalyptic number.

101312020320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101312020320000 is an abundant number, since it is smaller than the sum of its proper divisors (283761473417856).

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

101312020320000 is an frugal number, since it uses more digits than its factorization.

101312020320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30152433 (or 30152404 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101312020320000 its reverse (23020213101), we get a palindrome (101335040533101).

The spelling of 101312020320000 in words is "one hundred one trillion, three hundred twelve billion, twenty million, three hundred twenty thousand".