1311133120220 has 192 divisors, whose sum is σ = 3708894873600. Its totient is φ = 384625382400.

The previous prime is 1311133120189. The next prime is 1311133120277. The reversal of 1311133120220 is 220213311131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1311133120192 and 1311133120201.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 771785 + ... + 1793855.

It is an arithmetic number, because the mean of its divisors is an integer number (19317160800).

Almost surely, 2^{1311133120220} is an apocalyptic number.

1311133120220 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 1311133120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854447436800).

1311133120220 is an abundant number, since it is smaller than the sum of its proper divisors (2397761753380).

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

1311133120220 is a wasteful number, since it uses less digits than its factorization.

1311133120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022129 (or 1022113 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1311133120220 its reverse (220213311131), we get a palindrome (1531346431351).

The spelling of 1311133120220 in words is "one trillion, three hundred eleven billion, one hundred thirty-three million, one hundred twenty thousand, two hundred twenty".