11001031023120 has 160 divisors (see below), whose sum is σ = 34702661804160. Its totient is φ = 2882476523520.

The previous prime is 11001031023113. The next prime is 11001031023127. The reversal of 11001031023120 is 2132013010011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11001031023113) and next prime (11001031023127).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11001031023120.

It is not an unprimeable number, because it can be changed into a prime (11001031023127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1536090 + ... + 4935750.

It is an arithmetic number, because the mean of its divisors is an integer number (216891636276).

Almost surely, 2^{11001031023120} is an apocalyptic number.

11001031023120 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 11001031023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17351330902080).

11001031023120 is an abundant number, since it is smaller than the sum of its proper divisors (23701630781040).

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

11001031023120 is a wasteful number, since it uses less digits than its factorization.

11001031023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399913 (or 3399907 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11001031023120 its reverse (2132013010011), we get a palindrome (13133044033131).

The spelling of 11001031023120 in words is "eleven trillion, one billion, thirty-one million, twenty-three thousand, one hundred twenty".