13005210213200 has 60 divisors (see below), whose sum is σ = 31258987062780. Its totient is φ = 5199758254080.

The previous prime is 13005210213167. The next prime is 13005210213239. The reversal of 13005210213200 is 231201250031.

13005210213200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 241053504784 + 12764156708416 = 490972^2 + 3572696^2 .

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6372305 + ... + 8161904.

It is an arithmetic number, because the mean of its divisors is an integer number (520983117713).

Almost surely, 2^{13005210213200} is an apocalyptic number.

13005210213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13005210213200 is an abundant number, since it is smaller than the sum of its proper divisors (18253776849580).

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

13005210213200 is a wasteful number, since it uses less digits than its factorization.

13005210213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14536464 (or 14536453 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13005210213200 its reverse (231201250031), we get a palindrome (13236411463231).

The spelling of 13005210213200 in words is "thirteen trillion, five billion, two hundred ten million, two hundred thirteen thousand, two hundred".