1311441555105 has 48 divisors (see below), whose sum is σ = 2526605804736. Its totient is φ = 623853260160.

The previous prime is 1311441555103. The next prime is 1311441555119. The reversal of 1311441555105 is 5015551441131.

1311441555105 is a `hidden beast` number, since 13 + 114 + 4 + 15 + 5 + 510 + 5 = 666.

It is not a de Polignac number, because 1311441555105 - 2¹ = 1311441555103 is a prime.

It is a super-4 number, since 4×1311441555105⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1311441555105.

It is not an unprimeable number, because it can be changed into a prime (1311441555103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24967887 + ... + 25020356.

It is an arithmetic number, because the mean of its divisors is an integer number (52637620932).

Almost surely, 2^{1311441555105} is an apocalyptic number.

1311441555105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1311441555105 is a deficient number, since it is larger than the sum of its proper divisors (1215164249631).

1311441555105 is a wasteful number, since it uses less digits than its factorization.

1311441555105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49988318 (or 49988315 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

Adding to 1311441555105 its reverse (5015551441131), we get a palindrome (6326992996236).

The spelling of 1311441555105 in words is "one trillion, three hundred eleven billion, four hundred forty-one million, five hundred fifty-five thousand, one hundred five".