13315039200 has 756 divisors, whose sum is σ = 52426488240. Its totient is φ = 3299512320.

The previous prime is 13315039193. The next prime is 13315039201. The reversal of 13315039200 is 293051331.

It is a happy number.

13315039200 is a `hidden beast` number, since 133 + 1 + 503 + 9 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13315039201) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 168544761 + ... + 168544839.

Almost surely, 2^13315039200 is an apocalyptic number.

13315039200 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 13315039200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26213244120).

13315039200 is an abundant number, since it is smaller than the sum of its proper divisors (39111449040).

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

13315039200 is an equidigital number, since it uses as much as digits as its factorization.

13315039200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

It can be divided in two parts, 1331503 and 9200, that added together give a triangular number (1340703 = T₁₆₃₇).

The spelling of 13315039200 in words is "thirteen billion, three hundred fifteen million, thirty-nine thousand, two hundred".