1311642512191 has 32 divisors (see below), whose sum is σ = 1477718009856. Its totient is φ = 1153915308000.

The previous prime is 1311642512179. The next prime is 1311642512207. The reversal of 1311642512191 is 1912152461131.

It is a cyclic number.

It is not a de Polignac number, because 1311642512191 - 2³³ = 1303052577599 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1311642512191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311642512491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39081880 + ... + 39115426.

It is an arithmetic number, because the mean of its divisors is an integer number (46178687808).

Almost surely, 2^{1311642512191} is an apocalyptic number.

1311642512191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1311642512191 is a deficient number, since it is larger than the sum of its proper divisors (166075497665).

1311642512191 is a wasteful number, since it uses less digits than its factorization.

1311642512191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34363.

The product of its digits is 12960, while the sum is 37.

The spelling of 1311642512191 in words is "one trillion, three hundred eleven billion, six hundred forty-two million, five hundred twelve thousand, one hundred ninety-one".