1311031331331 has 8 divisors (see below), whose sum is σ = 1765349119824. Its totient is φ = 865367215200.

The previous prime is 1311031331303. The next prime is 1311031331371. The reversal of 1311031331331 is 1331331301131.

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

It is not a de Polignac number, because 1311031331331 - 2¹³ = 1311031323139 is a prime.

It is a super-2 number, since 2×1311031331331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311031331371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2163417736 + ... + 2163418341.

It is an arithmetic number, because the mean of its divisors is an integer number (220668639978).

Almost surely, 2^{1311031331331} is an apocalyptic number.

1311031331331 is a deficient number, since it is larger than the sum of its proper divisors (454317788493).

1311031331331 is a wasteful number, since it uses less digits than its factorization.

1311031331331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326836181.

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 1311031331331 its reverse (1331331301131), we get a palindrome (2642362632462).

The spelling of 1311031331331 in words is "one trillion, three hundred eleven billion, thirty-one million, three hundred thirty-one thousand, three hundred thirty-one".