11001311032120 has 64 divisors (see below), whose sum is σ = 25365443997600. Its totient is φ = 4291710750720.

The previous prime is 11001311032093. The next prime is 11001311032177. The reversal of 11001311032120 is 2123011310011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11001311032094 and 11001311032103.

It is a congruent number.

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, 3593311 + ... + 5908849.

Almost surely, 2^{11001311032120} is an apocalyptic number.

11001311032120 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 11001311032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12682721998800).

11001311032120 is an abundant number, since it is smaller than the sum of its proper divisors (14364132965480).

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

11001311032120 is a wasteful number, since it uses less digits than its factorization.

11001311032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318488 (or 2318484 counting only the distinct ones).

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

Adding to 11001311032120 its reverse (2123011310011), we get a palindrome (13124322342131).

The spelling of 11001311032120 in words is "eleven trillion, one billion, three hundred eleven million, thirty-two thousand, one hundred twenty".