1341330114300 has 144 divisors (see below), whose sum is σ = 4234409730432. Its totient is φ = 325118393600.

The previous prime is 1341330114263. The next prime is 1341330114323. The reversal of 1341330114300 is 34110331431.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22796719 + ... + 22855481.

It is an arithmetic number, because the mean of its divisors is an integer number (29405623128).

Almost surely, 2^{1341330114300} is an apocalyptic number.

1341330114300 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 1341330114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117204865216).

1341330114300 is an abundant number, since it is smaller than the sum of its proper divisors (2893079616132).

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

1341330114300 is a wasteful number, since it uses less digits than its factorization.

1341330114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65708 (or 65701 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1341330114300 its reverse (34110331431), we get a palindrome (1375440445731).

The spelling of 1341330114300 in words is "one trillion, three hundred forty-one billion, three hundred thirty million, one hundred fourteen thousand, three hundred".