13530120313200 has 60 divisors (see below), whose sum is σ = 43341485407128. Its totient is φ = 3608032083200.

The previous prime is 13530120313187. The next prime is 13530120313219. The reversal of 13530120313200 is 231302103531.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5637548931 + ... + 5637551330.

Almost surely, 2^{13530120313200} is an apocalyptic number.

13530120313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13530120313200 is an abundant number, since it is smaller than the sum of its proper divisors (29811365093928).

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

13530120313200 is a wasteful number, since it uses less digits than its factorization.

13530120313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11275100282 (or 11275100271 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 13530120313200 its reverse (231302103531), we get a palindrome (13761422416731).

The spelling of 13530120313200 in words is "thirteen trillion, five hundred thirty billion, one hundred twenty million, three hundred thirteen thousand, two hundred".