13021343300 has 180 divisors, whose sum is σ = 33252452436. Its totient is φ = 4425523200.

The previous prime is 13021343267. The next prime is 13021343333. The reversal of 13021343300 is 334312031.

It is an interprime number because it is at equal distance from previous prime (13021343267) and next prime (13021343333).

It can be written as a sum of positive squares in 6 ways, for example, as 452242756 + 12569100544 = 21266^2 + 112112^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46339160 + ... + 46339440.

Almost surely, 2^13021343300 is an apocalyptic number.

13021343300 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 13021343300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16626226218).

13021343300 is an abundant number, since it is smaller than the sum of its proper divisors (20231109136).

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

13021343300 is a wasteful number, since it uses less digits than its factorization.

13021343300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13021343300 its reverse (334312031), we get a palindrome (13355655331).

The spelling of 13021343300 in words is "thirteen billion, twenty-one million, three hundred forty-three thousand, three hundred".