1331001331 has 16 divisors (see below), whose sum is σ = 1478645856. Its totient is φ = 1197900000.

The previous prime is 1331001323. The next prime is 1331001341.

1331001331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1331001331 - 2³ = 1331001323 is a prime.

It is a super-2 number, since 2×1331001331² = 3543129086247543122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331001341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129481 + ... + 139381.

It is an arithmetic number, because the mean of its divisors is an integer number (92415366).

Almost surely, 2^1331001331 is an apocalyptic number.

1331001331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1331001331 is a deficient number, since it is larger than the sum of its proper divisors (147644525).

1331001331 is an equidigital number, since it uses as much as digits as its factorization.

1331001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035 (or 10013 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 1331001331 is about 36482.8909353412. The cubic root of 1331001331 is about 1100.0003666665. Note that the first 3 decimals are identical.

It can be divided in two parts, 133100 and 1331, that multiplied together give a square (177156100 = 13310²).

The spelling of 1331001331 in words is "one billion, three hundred thirty-one million, one thousand, three hundred thirty-one".