1310193180105 has 32 divisors (see below), whose sum is σ = 2336443574400. Its totient is φ = 623051615232.

The previous prime is 1310193180089. The next prime is 1310193180119. The reversal of 1310193180105 is 5010813910131.

It is a happy number.

It is not a de Polignac number, because 1310193180105 - 2⁴ = 1310193180089 is a prime.

It is a super-2 number, since 2×1310193180105² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135206010 + ... + 135215699.

It is an arithmetic number, because the mean of its divisors is an integer number (73013861700).

Almost surely, 2^{1310193180105} is an apocalyptic number.

1310193180105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1310193180105 is a deficient number, since it is larger than the sum of its proper divisors (1026250394295).

1310193180105 is a wasteful number, since it uses less digits than its factorization.

1310193180105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270421753.

The product of its (nonzero) digits is 3240, while the sum is 33.

The spelling of 1310193180105 in words is "one trillion, three hundred ten billion, one hundred ninety-three million, one hundred eighty thousand, one hundred five".