1331041304131 has 16 divisors (see below), whose sum is σ = 1659551148288. Its totient is φ = 1037130616800.

The previous prime is 1331041304123. The next prime is 1331041304141. The reversal of 1331041304131 is 1314031401331.

It is a cyclic number.

It is not a de Polignac number, because 1331041304131 - 2³ = 1331041304123 is a prime.

It is a super-2 number, since 2×1331041304131² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331041304096 and 1331041304105.

It is not an unprimeable number, because it can be changed into a prime (1331041304111) 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 15 ways as a sum of consecutive naturals, for example, 1500096 + ... + 2216386.

It is an arithmetic number, because the mean of its divisors is an integer number (103721946768).

Almost surely, 2^{1331041304131} is an apocalyptic number.

1331041304131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1331041304131 is a deficient number, since it is larger than the sum of its proper divisors (328509844157).

1331041304131 is a wasteful number, since it uses less digits than its factorization.

1331041304131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740442.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 1331041304131 its reverse (1314031401331), we get a palindrome (2645072705462).

The spelling of 1331041304131 in words is "one trillion, three hundred thirty-one billion, forty-one million, three hundred four thousand, one hundred thirty-one".