1010011113320 has 128 divisors (see below), whose sum is σ = 2496828948480. Its totient is φ = 364655520000.

The previous prime is 1010011113301. The next prime is 1010011113343. The reversal of 1010011113320 is 233111100101.

It is a happy number.

1010011113320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1010011113295 and 1010011113304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225295799 + ... + 225300281.

It is an arithmetic number, because the mean of its divisors is an integer number (19506476160).

Almost surely, 2^{1010011113320} is an apocalyptic number.

1010011113320 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 1010011113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248414474240).

1010011113320 is an abundant number, since it is smaller than the sum of its proper divisors (1486817835160).

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

1010011113320 is a wasteful number, since it uses less digits than its factorization.

1010011113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8047 (or 8043 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1010011113320 its reverse (233111100101), we get a palindrome (1243122213421).

The spelling of 1010011113320 in words is "one trillion, ten billion, eleven million, one hundred thirteen thousand, three hundred twenty".