13310011300 has 36 divisors (see below), whose sum is σ = 28909149696. Its totient is φ = 5319133600.

The previous prime is 13310011291. The next prime is 13310011307. The reversal of 13310011300 is 311001331.

It is a happy number.

13310011300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13310011300² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13310011307) 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 11 ways as a sum of consecutive naturals, for example, 49965 + ... + 170635.

It is an arithmetic number, because the mean of its divisors is an integer number (803031936).

Almost surely, 2^13310011300 is an apocalyptic number.

13310011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310011300 is an abundant number, since it is smaller than the sum of its proper divisors (15599138396).

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

13310011300 is a wasteful number, since it uses less digits than its factorization.

13310011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121788 (or 121781 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13310011300 its reverse (311001331), we get a palindrome (13621012631).

It can be divided in two parts, 133100 and 11300, that added together give a square (144400 = 380²).

The spelling of 13310011300 in words is "thirteen billion, three hundred ten million, eleven thousand, three hundred".