1013103311220 has 576 divisors, whose sum is σ = 4307476320000. Its totient is φ = 194320788480.

The previous prime is 1013103311179. The next prime is 1013103311221. The reversal of 1013103311220 is 221133013101.

1013103311220 is a `hidden beast` number, since 1 + 0 + 1 + 310 + 331 + 1 + 2 + 20 = 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 = 1013103311193 and 1013103311202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013103311221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3649906 + ... + 3917654.

It is an arithmetic number, because the mean of its divisors is an integer number (7478257500).

Almost surely, 2^{1013103311220} is an apocalyptic number.

1013103311220 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 1013103311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153738160000).

1013103311220 is an abundant number, since it is smaller than the sum of its proper divisors (3294373008780).

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

1013103311220 is a wasteful number, since it uses less digits than its factorization.

1013103311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267805 (or 267790 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1013103311220 its reverse (221133013101), we get a palindrome (1234236324321).

The spelling of 1013103311220 in words is "one trillion, thirteen billion, one hundred three million, three hundred eleven thousand, two hundred twenty".