13505013000 has 384 divisors, whose sum is σ = 46914940800. Its totient is φ = 3503040000.

The previous prime is 13505012999. The next prime is 13505013029. The reversal of 13505013000 is 31050531.

It is a happy number.

13505013000 is a `hidden beast` number, since 135 + 0 + 501 + 30 + 0 + 0 = 666.

It is a super-2 number, since 2×13505013000² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75446911 + ... + 75447089.

It is an arithmetic number, because the mean of its divisors is an integer number (122174325).

Almost surely, 2^13505013000 is an apocalyptic number.

13505013000 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 13505013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23457470400).

13505013000 is an abundant number, since it is smaller than the sum of its proper divisors (33409927800).

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

13505013000 is a wasteful number, since it uses less digits than its factorization.

13505013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 373 counting only the distinct ones).

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

Adding to 13505013000 its reverse (31050531), we get a palindrome (13536063531).

The spelling of 13505013000 in words is "thirteen billion, five hundred five million, thirteen thousand".