1331456541331 has 8 divisors (see below), whose sum is σ = 1521772277600. Its totient is φ = 1141167719808.

The previous prime is 1331456541313. The next prime is 1331456541347.

1331456541331 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 1331456541331 - 2⁷ = 1331456541203 is a prime.

It is a super-2 number, since 2×1331456541331² (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 (1331456541931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6622566 + ... + 6820651.

It is an arithmetic number, because the mean of its divisors is an integer number (190221534700).

Almost surely, 2^{1331456541331} is an apocalyptic number.

1331456541331 is a deficient number, since it is larger than the sum of its proper divisors (190315736269).

1331456541331 is a wasteful number, since it uses less digits than its factorization.

1331456541331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13457373.

The product of its digits is 194400, while the sum is 40.

The spelling of 1331456541331 in words is "one trillion, three hundred thirty-one billion, four hundred fifty-six million, five hundred forty-one thousand, three hundred thirty-one".