13530105000 has 640 divisors, whose sum is σ = 50203929600. Its totient is φ = 3369600000.

The previous prime is 13530104983. The next prime is 13530105037. The reversal of 13530105000 is 50103531.

It is a happy number.

13530105000 is a `hidden beast` number, since 135 + 30 + 1 + 0 + 500 + 0 = 666.

It is a super-2 number, since 2×13530105000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 221804970 + ... + 221805030.

It is an arithmetic number, because the mean of its divisors is an integer number (78443640).

Almost surely, 2^13530105000 is an apocalyptic number.

13530105000 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 13530105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25101964800).

13530105000 is an abundant number, since it is smaller than the sum of its proper divisors (36673824600).

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

13530105000 is a wasteful number, since it uses less digits than its factorization.

13530105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

Adding to 13530105000 its reverse (50103531), we get a palindrome (13580208531).

The spelling of 13530105000 in words is "thirteen billion, five hundred thirty million, one hundred five thousand".