13300101134340 has 192 divisors, whose sum is σ = 40291115504640. Its totient is φ = 3266668362240.

The previous prime is 13300101134329. The next prime is 13300101134351. The reversal of 13300101134340 is 4343110100331.

It is an interprime number because it is at equal distance from previous prime (13300101134329) and next prime (13300101134351).

It is a self number, because there is not a number n which added to its sum of digits gives 13300101134340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54332259 + ... + 54576501.

It is an arithmetic number, because the mean of its divisors is an integer number (209849559920).

Almost surely, 2^{13300101134340} is an apocalyptic number.

13300101134340 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 13300101134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20145557752320).

13300101134340 is an abundant number, since it is smaller than the sum of its proper divisors (26991014370300).

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

13300101134340 is a wasteful number, since it uses less digits than its factorization.

13300101134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245602 (or 245600 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13300101134340 its reverse (4343110100331), we get a palindrome (17643211234671).

The spelling of 13300101134340 in words is "thirteen trillion, three hundred billion, one hundred one million, one hundred thirty-four thousand, three hundred forty".