1311414133120 has 256 divisors, whose sum is σ = 4061670681600. Its totient is φ = 393196363776.

The previous prime is 1311414133111. The next prime is 1311414133121. The reversal of 1311414133120 is 213314141131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311414133121) 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, 513997 + ... + 1699123.

It is an arithmetic number, because the mean of its divisors is an integer number (15865901100).

Almost surely, 2^{1311414133120} is an apocalyptic number.

1311414133120 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 1311414133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030835340800).

1311414133120 is an abundant number, since it is smaller than the sum of its proper divisors (2750256548480).

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

1311414133120 is a wasteful number, since it uses less digits than its factorization.

1311414133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185185 (or 1185173 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 1311414133120 its reverse (213314141131), we get a palindrome (1524728274251).

The spelling of 1311414133120 in words is "one trillion, three hundred eleven billion, four hundred fourteen million, one hundred thirty-three thousand, one hundred twenty".