13283406300 has 72 divisors (see below), whose sum is σ = 38453132592. Its totient is φ = 3540416000.

The previous prime is 13283406277. The next prime is 13283406307. The reversal of 13283406300 is 360438231.

13283406300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13283406307) 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 23 ways as a sum of consecutive naturals, for example, 631960 + ... + 652640.

It is an arithmetic number, because the mean of its divisors is an integer number (534071286).

Almost surely, 2^13283406300 is an apocalyptic number.

13283406300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13283406300 is an abundant number, since it is smaller than the sum of its proper divisors (25169726292).

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

13283406300 is a wasteful number, since it uses less digits than its factorization.

13283406300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22839 (or 22832 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 13283406300 in words is "thirteen billion, two hundred eighty-three million, four hundred six thousand, three hundred".