11211311000020 has 48 divisors (see below), whose sum is σ = 23869047757968. Its totient is φ = 4422577812480.

The previous prime is 11211311000011. The next prime is 11211311000023. The reversal of 11211311000020 is 2000011311211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2649296607556 + 8562014392464 = 1627666^2 + 2926092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211311000023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12225930 + ... + 13110910.

It is an arithmetic number, because the mean of its divisors is an integer number (497271828291).

Almost surely, 2^{11211311000020} is an apocalyptic number.

11211311000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211311000020 is an abundant number, since it is smaller than the sum of its proper divisors (12657736757948).

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

11211311000020 is a wasteful number, since it uses less digits than its factorization.

11211311000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893740 (or 893738 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11211311000020 its reverse (2000011311211), we get a palindrome (13211322311231).

The spelling of 11211311000020 in words is "eleven trillion, two hundred eleven billion, three hundred eleven million, twenty", and thus it is an aban number.