1341312753144 has 384 divisors, whose sum is σ = 4239563328000. Its totient is φ = 351530371584.

The previous prime is 1341312753103. The next prime is 1341312753161. The reversal of 1341312753144 is 4413572131431.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 938636622 + ... + 938638050.

It is an arithmetic number, because the mean of its divisors is an integer number (11040529500).

Almost surely, 2^{1341312753144} is an apocalyptic number.

1341312753144 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 1341312753144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119781664000).

1341312753144 is an abundant number, since it is smaller than the sum of its proper divisors (2898250574856).

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

1341312753144 is a wasteful number, since it uses less digits than its factorization.

1341312753144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1633 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

Adding to 1341312753144 its reverse (4413572131431), we get a palindrome (5754884884575).

The spelling of 1341312753144 in words is "one trillion, three hundred forty-one billion, three hundred twelve million, seven hundred fifty-three thousand, one hundred forty-four".