1131413314304 has 144 divisors (see below), whose sum is σ = 2783293117248. Its totient is φ = 446993842176.

The previous prime is 1131413314301. The next prime is 1131413314321. The reversal of 1131413314304 is 4034133141311.

It is not an unprimeable number, because it can be changed into a prime (1131413314301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17602994 + ... + 17667150.

Almost surely, 2^{1131413314304} is an apocalyptic number.

1131413314304 is a gapful number since it is divisible by the number (14) 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 1131413314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391646558624).

1131413314304 is an abundant number, since it is smaller than the sum of its proper divisors (1651879802944).

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

1131413314304 is an equidigital number, since it uses as much as digits as its factorization.

1131413314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64950 (or 64936 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 1131413314304 its reverse (4034133141311), we get a palindrome (5165546455615).

The spelling of 1131413314304 in words is "one trillion, one hundred thirty-one billion, four hundred thirteen million, three hundred fourteen thousand, three hundred four".