1331158511331 has 216 divisors, whose sum is σ = 2345670617472. Its totient is φ = 724113561600.

The previous prime is 1331158511311. The next prime is 1331158511443.

1331158511331 is a `hidden beast` number, since 1 + 3 + 31 + 1 + 585 + 1 + 13 + 31 = 666.

1331158511331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1331158511331 - 2¹⁹ = 1331157987043 is a prime.

It is a super-2 number, since 2×1331158511331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1331158511311) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1343247246 + ... + 1343248236.

It is an arithmetic number, because the mean of its divisors is an integer number (10859586192).

Almost surely, 2^{1331158511331} is an apocalyptic number.

1331158511331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1331158511331 is a deficient number, since it is larger than the sum of its proper divisors (1014512106141).

1331158511331 is a wasteful number, since it uses less digits than its factorization.

1331158511331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1112 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The spelling of 1331158511331 in words is "one trillion, three hundred thirty-one billion, one hundred fifty-eight million, five hundred eleven thousand, three hundred thirty-one".