13530361345152 has 128 divisors (see below), whose sum is σ = 37924012080000. Its totient is φ = 4265555779584.

The previous prime is 13530361345133. The next prime is 13530361345159. The reversal of 13530361345152 is 25154316303531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×13530361345152³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13530361345159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7820527 + ... + 9392622.

It is an arithmetic number, because the mean of its divisors is an integer number (296281344375).

Almost surely, 2^{13530361345152} is an apocalyptic number.

13530361345152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13530361345152 is an abundant number, since it is smaller than the sum of its proper divisors (24393650734848).

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

13530361345152 is a wasteful number, since it uses less digits than its factorization.

13530361345152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17213278 (or 17213266 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

Adding to 13530361345152 its reverse (25154316303531), we get a palindrome (38684677648683).

The spelling of 13530361345152 in words is "thirteen trillion, five hundred thirty billion, three hundred sixty-one million, three hundred forty-five thousand, one hundred fifty-two".