13300134101320 has 128 divisors (see below), whose sum is σ = 33308044992000. Its totient is φ = 4738553697280.

The previous prime is 13300134101269. The next prime is 13300134101321. The reversal of 13300134101320 is 2310143100331.

It is a super-2 number, since 2×13300134101320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13300134101291 and 13300134101300.

It is not an unprimeable number, because it can be changed into a prime (13300134101321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16370466 + ... + 17163694.

It is an arithmetic number, because the mean of its divisors is an integer number (260219101500).

Almost surely, 2^{13300134101320} is an apocalyptic number.

13300134101320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300134101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16654022496000).

13300134101320 is an abundant number, since it is smaller than the sum of its proper divisors (20007910890680).

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

13300134101320 is a wasteful number, since it uses less digits than its factorization.

13300134101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794023 (or 794019 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13300134101320 its reverse (2310143100331), we get a palindrome (15610277201651).

The spelling of 13300134101320 in words is "thirteen trillion, three hundred billion, one hundred thirty-four million, one hundred one thousand, three hundred twenty".