1001131111331 has 16 divisors (see below), whose sum is σ = 1094314738944. Its totient is φ = 910260055584.

The previous prime is 1001131111271. The next prime is 1001131111333. The reversal of 1001131111331 is 1331111311001.

It is a cyclic number.

It is not a de Polignac number, because 1001131111331 - 2¹⁰ = 1001131110307 is a prime.

It is a super-2 number, since 2×1001131111331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001131111333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14377706 + ... + 14447168.

It is an arithmetic number, because the mean of its divisors is an integer number (68394671184).

Almost surely, 2^{1001131111331} is an apocalyptic number.

1001131111331 is a deficient number, since it is larger than the sum of its proper divisors (93183627613).

1001131111331 is a wasteful number, since it uses less digits than its factorization.

1001131111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86090.

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

Adding to 1001131111331 its reverse (1331111311001), we get a palindrome (2332242422332).

The spelling of 1001131111331 in words is "one trillion, one billion, one hundred thirty-one million, one hundred eleven thousand, three hundred thirty-one".