13331020302300 has 144 divisors (see below), whose sum is σ = 38870311918592. Its totient is φ = 3527464204800.

The previous prime is 13331020302269. The next prime is 13331020302307. The reversal of 13331020302300 is 320302013331.

It is a super-2 number, since 2×13331020302300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331020302307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20213760 + ... + 20862840.

Almost surely, 2^{13331020302300} is an apocalyptic number.

13331020302300 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 13331020302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19435155959296).

13331020302300 is an abundant number, since it is smaller than the sum of its proper divisors (25539291616292).

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

13331020302300 is a wasteful number, since it uses less digits than its factorization.

13331020302300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649628 (or 649621 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13331020302300 its reverse (320302013331), we get a palindrome (13651322315631).

The spelling of 13331020302300 in words is "thirteen trillion, three hundred thirty-one billion, twenty million, three hundred two thousand, three hundred".