2011033102320 has 480 divisors, whose sum is σ = 7695767439360. Its totient is φ = 465857187840.

The previous prime is 2011033102303. The next prime is 2011033102339. The reversal of 2011033102320 is 232013301102.

2011033102320 is a `hidden beast` number, since 2 + 0 + 1 + 10 + 331 + 0 + 2 + 320 = 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 = 2011033102293 and 2011033102302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200917476 + ... + 200927484.

It is an arithmetic number, because the mean of its divisors is an integer number (16032848832).

Almost surely, 2^{2011033102320} is an apocalyptic number.

2011033102320 is a gapful number since it is divisible by the number (20) 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 2011033102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847883719680).

2011033102320 is an abundant number, since it is smaller than the sum of its proper divisors (5684734337040).

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

2011033102320 is a wasteful number, since it uses less digits than its factorization.

2011033102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11165 (or 11156 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2011033102320 its reverse (232013301102), we get a palindrome (2243046403422).

The spelling of 2011033102320 in words is "two trillion, eleven billion, thirty-three million, one hundred two thousand, three hundred twenty".