1305613120735 has 16 divisors (see below), whose sum is σ = 1953332877312. Its totient is φ = 813888698400.

The previous prime is 1305613120727. The next prime is 1305613120751. The reversal of 1305613120735 is 5370213165031.

It is not a de Polignac number, because 1305613120735 - 2³ = 1305613120727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1305613120694 and 1305613120703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1695601071 + ... + 1695601840.

It is an arithmetic number, because the mean of its divisors is an integer number (122083304832).

Almost surely, 2^{1305613120735} is an apocalyptic number.

1305613120735 is a deficient number, since it is larger than the sum of its proper divisors (647719756577).

1305613120735 is a wasteful number, since it uses less digits than its factorization.

1305613120735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391202934.

The product of its (nonzero) digits is 56700, while the sum is 37.

Adding to 1305613120735 its reverse (5370213165031), we get a palindrome (6675826285766).

The spelling of 1305613120735 in words is "one trillion, three hundred five billion, six hundred thirteen million, one hundred twenty thousand, seven hundred thirty-five".