1330120101113 has 16 divisors (see below), whose sum is σ = 1411485192720. Its totient is φ = 1249104992256.

The previous prime is 1330120101103. The next prime is 1330120101127. The reversal of 1330120101113 is 3111010210331.

It can be written as a sum of positive squares in 8 ways, for example, as 319266811369 + 1010853289744 = 565037^2 + 1005412^2 .

It is a cyclic number.

It is not a de Polignac number, because 1330120101113 - 2²⁸ = 1329851665657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1330120101091 and 1330120101100.

It is not an unprimeable number, because it can be changed into a prime (1330120101103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14369543 + ... + 14461811.

It is an arithmetic number, because the mean of its divisors is an integer number (88217824545).

Almost surely, 2^{1330120101113} is an apocalyptic number.

It is an amenable number.

1330120101113 is a deficient number, since it is larger than the sum of its proper divisors (81365091607).

1330120101113 is a wasteful number, since it uses less digits than its factorization.

1330120101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94156.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1330120101113 its reverse (3111010210331), we get a palindrome (4441130311444).

The spelling of 1330120101113 in words is "one trillion, three hundred thirty billion, one hundred twenty million, one hundred one thousand, one hundred thirteen".