13205153000 has 96 divisors (see below), whose sum is σ = 33460254360. Its totient is φ = 4875686400.

The previous prime is 13205152997. The next prime is 13205153009. The reversal of 13205153000 is 35150231.

It can be written as a sum of positive squares in 12 ways, for example, as 2882186596 + 10322966404 = 53686^2 + 101602^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13205153009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129932 + ... + 208068.

Almost surely, 2^13205153000 is an apocalyptic number.

13205153000 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 13205153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16730127180).

13205153000 is an abundant number, since it is smaller than the sum of its proper divisors (20255101360).

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

13205153000 is a wasteful number, since it uses less digits than its factorization.

13205153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78184 (or 78157 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The spelling of 13205153000 in words is "thirteen billion, two hundred five million, one hundred fifty-three thousand".