1305110135197 has 16 divisors (see below), whose sum is σ = 1458558368064. Its totient is φ = 1157465232000.

The previous prime is 1305110135179. The next prime is 1305110135207. The reversal of 1305110135197 is 7915310115031.

It is a happy number.

It is not a de Polignac number, because 1305110135197 - 2¹¹ = 1305110133149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305110135177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10097263 + ... + 10225699.

It is an arithmetic number, because the mean of its divisors is an integer number (91159898004).

Almost surely, 2^{1305110135197} is an apocalyptic number.

It is an amenable number.

1305110135197 is a deficient number, since it is larger than the sum of its proper divisors (153448232867).

1305110135197 is a wasteful number, since it uses less digits than its factorization.

1305110135197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151020.

The product of its (nonzero) digits is 14175, while the sum is 37.

The spelling of 1305110135197 in words is "one trillion, three hundred five billion, one hundred ten million, one hundred thirty-five thousand, one hundred ninety-seven".