1310180412105 has 24 divisors (see below), whose sum is σ = 2390504613120. Its totient is φ = 661985892000.

The previous prime is 1310180412061. The next prime is 1310180412113. The reversal of 1310180412105 is 5012140810131.

1310180412105 is a `hidden beast` number, since 131 + 0 + 18 + 0 + 412 + 105 = 666.

It is not a de Polignac number, because 1310180412105 - 2⁸ = 1310180411849 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766186521 + ... + 766188230.

It is an arithmetic number, because the mean of its divisors is an integer number (99604358880).

Almost surely, 2^{1310180412105} is an apocalyptic number.

1310180412105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1310180412105 is a deficient number, since it is larger than the sum of its proper divisors (1080324201015).

1310180412105 is a wasteful number, since it uses less digits than its factorization.

1310180412105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532374781 (or 1532374778 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 1310180412105 in words is "one trillion, three hundred ten billion, one hundred eighty million, four hundred twelve thousand, one hundred five".