1331020130113 has 6 divisors (see below), whose sum is σ = 1353197840982. Its totient is φ = 1309200124320.

The previous prime is 1331020130087. The next prime is 1331020130119. The reversal of 1331020130113 is 3110310201331.

It can be written as a sum of positive squares in 3 ways, for example, as 38358005904 + 1292662124209 = 195852^2 + 1136953^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1331020130113 is a prime.

It is a super-3 number, since 3×1331020130113³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331020130119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 178848756 + ... + 178856197.

It is an arithmetic number, because the mean of its divisors is an integer number (225532973497).

Almost surely, 2^{1331020130113} is an apocalyptic number.

It is an amenable number.

1331020130113 is a deficient number, since it is larger than the sum of its proper divisors (22177710869).

1331020130113 is an frugal number, since it uses more digits than its factorization.

1331020130113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357705075 (or 357705014 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1331020130113 its reverse (3110310201331), we get a palindrome (4441330331444).

The spelling of 1331020130113 in words is "one trillion, three hundred thirty-one billion, twenty million, one hundred thirty thousand, one hundred thirteen".