1311031011131 has 8 divisors (see below), whose sum is σ = 1388890074240. Its totient is φ = 1233254124928.

The previous prime is 1311031011113. The next prime is 1311031011167. The reversal of 1311031011131 is 1311101301131.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1311031011131 is a prime.

It is a super-2 number, since 2×1311031011131² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1311031011181) 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 7 ways as a sum of consecutive naturals, for example, 20511371 + ... + 20575188.

It is an arithmetic number, because the mean of its divisors is an integer number (173611259280).

Almost surely, 2^{1311031011131} is an apocalyptic number.

1311031011131 is a deficient number, since it is larger than the sum of its proper divisors (77859063109).

1311031011131 is a wasteful number, since it uses less digits than its factorization.

1311031011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41088453.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 1311031011131 its reverse (1311101301131), we get a palindrome (2622132312262).

The spelling of 1311031011131 in words is "one trillion, three hundred eleven billion, thirty-one million, eleven thousand, one hundred thirty-one".