1311133223120 has 160 divisors (see below), whose sum is σ = 3564896832000. Its totient is φ = 448275846144.

The previous prime is 1311133223119. The next prime is 1311133223123. The reversal of 1311133223120 is 213223311131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311133223123) 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, 9784412 + ... + 9917508.

It is an arithmetic number, because the mean of its divisors is an integer number (22280605200).

Almost surely, 2^{1311133223120} is an apocalyptic number.

1311133223120 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 1311133223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782448416000).

1311133223120 is an abundant number, since it is smaller than the sum of its proper divisors (2253763608880).

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

1311133223120 is a wasteful number, since it uses less digits than its factorization.

1311133223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133490 (or 133470 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1311133223120 its reverse (213223311131), we get a palindrome (1524356534251).

The spelling of 1311133223120 in words is "one trillion, three hundred eleven billion, one hundred thirty-three million, two hundred twenty-three thousand, one hundred twenty".