2011223131020 has 72 divisors (see below), whose sum is σ = 6157726205904. Its totient is φ = 531313769088.

The previous prime is 2011223131009. The next prime is 2011223131039. The reversal of 2011223131020 is 201313221102.

2011223131020 is a `hidden beast` number, since 201 + 122 + 31 + 310 + 2 + 0 = 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 = 2011223130984 and 2011223131002.

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 23 ways as a sum of consecutive naturals, for example, 52193179 + ... + 52231698.

It is an arithmetic number, because the mean of its divisors is an integer number (85523975082).

Almost surely, 2^{2011223131020} is an apocalyptic number.

2011223131020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011223131020 is an abundant number, since it is smaller than the sum of its proper divisors (4146503074884).

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

2011223131020 is a wasteful number, since it uses less digits than its factorization.

2011223131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104424999 (or 104424994 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2011223131020 its reverse (201313221102), we get a palindrome (2212536352122).

The spelling of 2011223131020 in words is "two trillion, eleven billion, two hundred twenty-three million, one hundred thirty-one thousand, twenty".