13300303121100 has 252 divisors, whose sum is σ = 44328132739800. Its totient is φ = 3460240684800.

The previous prime is 13300303121033. The next prime is 13300303121107. The reversal of 13300303121100 is 112130300331.

It is a happy number.

13300303121100 is a `hidden beast` number, since 1 + 330 + 0 + 303 + 1 + 21 + 10 + 0 = 666.

It is a super-2 number, since 2×13300303121100² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13300303121107) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 763951 + ... + 5213849.

It is an arithmetic number, because the mean of its divisors is an integer number (175905288650).

Almost surely, 2^{13300303121100} is an apocalyptic number.

13300303121100 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 13300303121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22164066369900).

13300303121100 is an abundant number, since it is smaller than the sum of its proper divisors (31027829618700).

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

13300303121100 is a wasteful number, since it uses less digits than its factorization.

13300303121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4449972 (or 4449950 counting only the distinct ones).

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

Adding to 13300303121100 its reverse (112130300331), we get a palindrome (13412433421431).

The spelling of 13300303121100 in words is "thirteen trillion, three hundred billion, three hundred three million, one hundred twenty-one thousand, one hundred".