1314034005105 has 64 divisors (see below), whose sum is σ = 2358008928000. Its totient is φ = 694236427776.

The previous prime is 1314034005077. The next prime is 1314034005107. The reversal of 1314034005105 is 5015004304131.

It is a happy number.

1314034005105 is a `hidden beast` number, since 1 + 3 + 140 + 3 + 4 + 0 + 0 + 510 + 5 = 666.

It is not a de Polignac number, because 1314034005105 - 2⁸ = 1314034004849 is a prime.

It is a super-2 number, since 2×1314034005105² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1314034005107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106574581 + ... + 106586909.

It is an arithmetic number, because the mean of its divisors is an integer number (36843889500).

Almost surely, 2^{1314034005105} is an apocalyptic number.

1314034005105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1314034005105 is a deficient number, since it is larger than the sum of its proper divisors (1043974922895).

1314034005105 is a wasteful number, since it uses less digits than its factorization.

1314034005105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19695 (or 19689 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 1314034005105 its reverse (5015004304131), we get a palindrome (6329038309236).

The spelling of 1314034005105 in words is "one trillion, three hundred fourteen billion, thirty-four million, five thousand, one hundred five".