1310919191131 has 32 divisors (see below), whose sum is σ = 1519203755520. Its totient is φ = 1119887865600.

The previous prime is 1310919191093. The next prime is 1310919191143. The reversal of 1310919191131 is 1311919190131.

It is a cyclic number.

It is not a de Polignac number, because 1310919191131 - 2⁹ = 1310919190619 is a prime.

It is a super-2 number, since 2×1310919191131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1310919191161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3684426 + ... + 4024528.

It is an arithmetic number, because the mean of its divisors is an integer number (47475117360).

Almost surely, 2^{1310919191131} is an apocalyptic number.

1310919191131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1310919191131 is a deficient number, since it is larger than the sum of its proper divisors (208284564389).

1310919191131 is a wasteful number, since it uses less digits than its factorization.

1310919191131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340467.

The product of its (nonzero) digits is 6561, while the sum is 40.

The spelling of 1310919191131 in words is "one trillion, three hundred ten billion, nine hundred nineteen million, one hundred ninety-one thousand, one hundred thirty-one".