101011312013020 has 12 divisors (see below), whose sum is σ = 212123755227384. Its totient is φ = 40404524805200.

The previous prime is 101011312013011. The next prime is 101011312013047. The reversal of 101011312013020 is 20310213110101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101011312012985 and 101011312013003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2525282800306 + ... + 2525282800345.

It is an arithmetic number, because the mean of its divisors is an integer number (17676979602282).

Almost surely, 2^{101011312013020} is an apocalyptic number.

101011312013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011312013020 is an abundant number, since it is smaller than the sum of its proper divisors (111112443214364).

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

101011312013020 is a wasteful number, since it uses less digits than its factorization.

101011312013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050565600660 (or 5050565600658 counting only the distinct ones).

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

Adding to 101011312013020 its reverse (20310213110101), we get a palindrome (121321525123121).

The spelling of 101011312013020 in words is "one hundred one trillion, eleven billion, three hundred twelve million, thirteen thousand, twenty".