1331434341331 has 24 divisors (see below), whose sum is σ = 1420202152224. Its totient is φ = 1247909846400.

The previous prime is 1331434341287. The next prime is 1331434341379.

1331434341331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1331434341331 - 2¹³ = 1331434333139 is a prime.

It is a super-2 number, since 2×1331434341331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1331434341031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49828831 + ... + 49855543.

It is an arithmetic number, because the mean of its divisors is an integer number (59175089676).

Almost surely, 2^{1331434341331} is an apocalyptic number.

1331434341331 is a deficient number, since it is larger than the sum of its proper divisors (88767810893).

1331434341331 is a wasteful number, since it uses less digits than its factorization.

1331434341331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28219 (or 28200 counting only the distinct ones).

The product of its digits is 46656, while the sum is 34.

The spelling of 1331434341331 in words is "one trillion, three hundred thirty-one billion, four hundred thirty-four million, three hundred forty-one thousand, three hundred thirty-one".