13053141200 has 270 divisors, whose sum is σ = 35606912418. Its totient is φ = 4594867200.

The previous prime is 13053141197. The next prime is 13053141203. The reversal of 13053141200 is 214135031.

It is an interprime number because it is at equal distance from previous prime (13053141197) and next prime (13053141203).

It can be written as a sum of positive squares in 9 ways, for example, as 749007424 + 12304133776 = 27368^2 + 110924^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13053141203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 66259502 + ... + 66259698.

Almost surely, 2^13053141200 is an apocalyptic number.

13053141200 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 13053141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17803456209).

13053141200 is an abundant number, since it is smaller than the sum of its proper divisors (22553771218).

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

13053141200 is a wasteful number, since it uses less digits than its factorization.

13053141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13053141200 its reverse (214135031), we get a palindrome (13267276231).

The spelling of 13053141200 in words is "thirteen billion, fifty-three million, one hundred forty-one thousand, two hundred".