1011332120320 has 144 divisors (see below), whose sum is σ = 2440765091520. Its totient is φ = 401483169792.

The previous prime is 1011332120317. The next prime is 1011332120329. The reversal of 1011332120320 is 230212331101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011332120329) 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, 151552504 + ... + 151559176.

It is an arithmetic number, because the mean of its divisors is an integer number (16949757580).

Almost surely, 2^{1011332120320} is an apocalyptic number.

1011332120320 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 1011332120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220382545760).

1011332120320 is an abundant number, since it is smaller than the sum of its proper divisors (1429432971200).

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

1011332120320 is an equidigital number, since it uses as much as digits as its factorization.

1011332120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7570 (or 7556 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1011332120320 its reverse (230212331101), we get a palindrome (1241544451421).

The spelling of 1011332120320 in words is "one trillion, eleven billion, three hundred thirty-two million, one hundred twenty thousand, three hundred twenty".