1311034400191 has 8 divisors (see below), whose sum is σ = 1312576392960. Its totient is φ = 1309493297112.

The previous prime is 1311034400173. The next prime is 1311034400197. The reversal of 1311034400191 is 1910044301131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1311034400191 - 2⁹ = 1311034399679 is a prime.

It is a super-2 number, since 2×1311034400191² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311034400197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2749770 + ... + 3191128.

It is an arithmetic number, because the mean of its divisors is an integer number (164072049120).

Almost surely, 2^{1311034400191} is an apocalyptic number.

1311034400191 is a deficient number, since it is larger than the sum of its proper divisors (1541992769).

1311034400191 is a wasteful number, since it uses less digits than its factorization.

1311034400191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444845.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 1311034400191 in words is "one trillion, three hundred eleven billion, thirty-four million, four hundred thousand, one hundred ninety-one".