1011331312020 has 96 divisors (see below), whose sum is σ = 3150853655040. Its totient is φ = 269303529600.

The previous prime is 1011331311989. The next prime is 1011331312021. The reversal of 1011331312020 is 202131331101.

1011331312020 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 331 + 312 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1011331311984 and 1011331312002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011331312021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957292 + ... + 1714371.

It is an arithmetic number, because the mean of its divisors is an integer number (32821392240).

Almost surely, 2^{1011331312020} is an apocalyptic number.

1011331312020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011331312020 is an abundant number, since it is smaller than the sum of its proper divisors (2139522343020).

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

1011331312020 is a wasteful number, since it uses less digits than its factorization.

1011331312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672382 (or 2672374 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1011331312020 its reverse (202131331101), we get a palindrome (1213462643121).

The spelling of 1011331312020 in words is "one trillion, eleven billion, three hundred thirty-one million, three hundred twelve thousand, twenty".