1011131123020 has 48 divisors (see below), whose sum is σ = 2215990058688. Its totient is φ = 386816221440.

The previous prime is 1011131123017. The next prime is 1011131123081. The reversal of 1011131123020 is 203211311101.

It is a happy number.

It is a super-2 number, since 2×1011131123020² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011131122985 and 1011131123003.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3418882 + ... + 3702838.

It is an arithmetic number, because the mean of its divisors is an integer number (46166459556).

Almost surely, 2^{1011131123020} is an apocalyptic number.

1011131123020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011131123020 is an abundant number, since it is smaller than the sum of its proper divisors (1204858935668).

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

1011131123020 is a wasteful number, since it uses less digits than its factorization.

1011131123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291730 (or 291728 counting only the distinct ones).

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

Adding to 1011131123020 its reverse (203211311101), we get a palindrome (1214342434121).

The spelling of 1011131123020 in words is "one trillion, eleven billion, one hundred thirty-one million, one hundred twenty-three thousand, twenty".