11100312331020 has 144 divisors (see below), whose sum is σ = 36738589069728. Its totient is φ = 2690497889280.

The previous prime is 11100312330979. The next prime is 11100312331037. The reversal of 11100312331020 is 2013321300111.

11100312331020 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 0 + 312 + 331 + 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 = 11100312330984 and 11100312331002.

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 47 ways as a sum of consecutive naturals, for example, 10498432 + ... + 11507288.

It is an arithmetic number, because the mean of its divisors is an integer number (255129090762).

Almost surely, 2^{11100312331020} is an apocalyptic number.

11100312331020 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 11100312331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18369294534864).

11100312331020 is an abundant number, since it is smaller than the sum of its proper divisors (25638276738708).

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

11100312331020 is a wasteful number, since it uses less digits than its factorization.

11100312331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014440 (or 1014435 counting only the distinct ones).

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

Adding to 11100312331020 its reverse (2013321300111), we get a palindrome (13113633631131).

The spelling of 11100312331020 in words is "eleven trillion, one hundred billion, three hundred twelve million, three hundred thirty-one thousand, twenty".