1311023113120 has 384 divisors, whose sum is σ = 3790557388800. Its totient is φ = 418516180992.

The previous prime is 1311023113111. The next prime is 1311023113157. The reversal of 1311023113120 is 213113201131.

It is a super-2 number, since 2×1311023113120² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391699287 + ... + 391702633.

It is an arithmetic number, because the mean of its divisors is an integer number (9871243200).

Almost surely, 2^{1311023113120} is an apocalyptic number.

1311023113120 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 1311023113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895278694400).

1311023113120 is an abundant number, since it is smaller than the sum of its proper divisors (2479534275680).

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

1311023113120 is a wasteful number, since it uses less digits than its factorization.

1311023113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3692 counting only the distinct ones).

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

Adding to 1311023113120 its reverse (213113201131), we get a palindrome (1524136314251).

The spelling of 1311023113120 in words is "one trillion, three hundred eleven billion, twenty-three million, one hundred thirteen thousand, one hundred twenty".