1311253421120 has 112 divisors (see below), whose sum is σ = 3189749068800. Its totient is φ = 513198127104.

The previous prime is 1311253421089. The next prime is 1311253421173. The reversal of 1311253421120 is 211243521131.

It is a self number, because there is not a number n which added to its sum of digits gives 1311253421120.

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 15 ways as a sum of consecutive naturals, for example, 65398937 + ... + 65418983.

It is an arithmetic number, because the mean of its divisors is an integer number (28479902400).

Almost surely, 2^{1311253421120} is an apocalyptic number.

1311253421120 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 1311253421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594874534400).

1311253421120 is an abundant number, since it is smaller than the sum of its proper divisors (1878495647680).

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

1311253421120 is a wasteful number, since it uses less digits than its factorization.

1311253421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24460 (or 24450 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 1311253421120 its reverse (211243521131), we get a palindrome (1522496942251).

The spelling of 1311253421120 in words is "one trillion, three hundred eleven billion, two hundred fifty-three million, four hundred twenty-one thousand, one hundred twenty".