1331012133113 has 8 divisors (see below), whose sum is σ = 1433596067400. Its totient is φ = 1228456539648.

The previous prime is 1331012133107. The next prime is 1331012133127. The reversal of 1331012133113 is 3113312101331.

It can be written as a sum of positive squares in 4 ways, for example, as 282329634409 + 1048682498704 = 531347^2 + 1024052^2 .

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

It is not a de Polignac number, because 1331012133113 - 2¹⁶ = 1331012067577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331012133713) 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, 6987608 + ... + 7175561.

It is an arithmetic number, because the mean of its divisors is an integer number (179199508425).

Almost surely, 2^{1331012133113} is an apocalyptic number.

1331012133113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1331012133113 is a deficient number, since it is larger than the sum of its proper divisors (102583934287).

1331012133113 is a wasteful number, since it uses less digits than its factorization.

1331012133113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14170411.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 1331012133113 its reverse (3113312101331), we get a palindrome (4444324234444).

The spelling of 1331012133113 in words is "one trillion, three hundred thirty-one billion, twelve million, one hundred thirty-three thousand, one hundred thirteen".