1011313311220 has 96 divisors (see below), whose sum is σ = 2274395760000. Its totient is φ = 376578183168.

The previous prime is 1011313311193. The next prime is 1011313311227. The reversal of 1011313311220 is 221133131101.

It is a super-2 number, since 2×1011313311220² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011313311227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61175916 + ... + 61192444.

It is an arithmetic number, because the mean of its divisors is an integer number (23691622500).

Almost surely, 2^{1011313311220} is an apocalyptic number.

1011313311220 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 1011313311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137197880000).

1011313311220 is an abundant number, since it is smaller than the sum of its proper divisors (1263082448780).

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

1011313311220 is a wasteful number, since it uses less digits than its factorization.

1011313311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19345 (or 19343 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1011313311220 its reverse (221133131101), we get a palindrome (1232446442321).

The spelling of 1011313311220 in words is "one trillion, eleven billion, three hundred thirteen million, three hundred eleven thousand, two hundred twenty".