1331334300345 has 64 divisors (see below), whose sum is σ = 2549660073984. Its totient is φ = 580000227840.

The previous prime is 1331334300301. The next prime is 1331334300347. The reversal of 1331334300345 is 5430034331331.

It is not a de Polignac number, because 1331334300345 - 2¹⁵ = 1331334267577 is a prime.

It is a super-2 number, since 2×1331334300345² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1331334300347) 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 63 ways as a sum of consecutive naturals, for example, 362652 + ... + 1671581.

It is an arithmetic number, because the mean of its divisors is an integer number (39838438656).

Almost surely, 2^{1331334300345} is an apocalyptic number.

1331334300345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1331334300345 is a deficient number, since it is larger than the sum of its proper divisors (1218325773639).

1331334300345 is a wasteful number, since it uses less digits than its factorization.

1331334300345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034542.

The product of its (nonzero) digits is 58320, while the sum is 33.

Adding to 1331334300345 its reverse (5430034331331), we get a palindrome (6761368631676).

The spelling of 1331334300345 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-four million, three hundred thousand, three hundred forty-five".