1011320011020 has 144 divisors (see below), whose sum is σ = 3113064751104. Its totient is φ = 245126006400.

The previous prime is 1011320010997. The next prime is 1011320011069. The reversal of 1011320011020 is 201100231101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1011320010987 and 1011320011005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69303925 + ... + 69318515.

It is an arithmetic number, because the mean of its divisors is an integer number (21618505216).

Almost surely, 2^{1011320011020} is an apocalyptic number.

1011320011020 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 1011320011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556532375552).

1011320011020 is an abundant number, since it is smaller than the sum of its proper divisors (2101744740084).

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

1011320011020 is a wasteful number, since it uses less digits than its factorization.

1011320011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24172 (or 24159 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1011320011020 its reverse (201100231101), we get a palindrome (1212420242121).

The spelling of 1011320011020 in words is "one trillion, eleven billion, three hundred twenty million, eleven thousand, twenty".