1011233131020 has 288 divisors, whose sum is σ = 3552647454720. Its totient is φ = 228041948160.

The previous prime is 1011233130997. The next prime is 1011233131039. The reversal of 1011233131020 is 201313321101.

1011233131020 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 331 + 310 + 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 = 1011233130984 and 1011233131002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171305389 + ... + 171311291.

It is an arithmetic number, because the mean of its divisors is an integer number (12335581440).

Almost surely, 2^{1011233131020} is an apocalyptic number.

1011233131020 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 1011233131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776323727360).

1011233131020 is an abundant number, since it is smaller than the sum of its proper divisors (2541414323700).

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

1011233131020 is a wasteful number, since it uses less digits than its factorization.

1011233131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7725 (or 7720 counting only the distinct ones).

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

Adding to 1011233131020 its reverse (201313321101), we get a palindrome (1212546452121).

The spelling of 1011233131020 in words is "one trillion, eleven billion, two hundred thirty-three million, one hundred thirty-one thousand, twenty".