13030013101320 has 96 divisors (see below), whose sum is σ = 42349047226200. Its totient is φ = 3474546702336.

The previous prime is 13030013101289. The next prime is 13030013101321. The reversal of 13030013101320 is 2310131003031.

It is a happy number.

13030013101320 is a `hidden beast` number, since 1 + 3 + 0 + 30 + 0 + 1 + 310 + 1 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12976032155076 + 53980946244 = 3602226^2 + 232338^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13030013101293 and 13030013101302.

It is not an unprimeable number, because it can be changed into a prime (13030013101321) 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, 9735424 + ... + 10992656.

Almost surely, 2^{13030013101320} is an apocalyptic number.

13030013101320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13030013101320 is an abundant number, since it is smaller than the sum of its proper divisors (29319034124880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13030013101320 is a wasteful number, since it uses less digits than its factorization.

13030013101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286039 (or 1286032 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13030013101320 its reverse (2310131003031), we get a palindrome (15340144104351).

The spelling of 13030013101320 in words is "thirteen trillion, thirty billion, thirteen million, one hundred one thousand, three hundred twenty".