10132144013200 has 240 divisors, whose sum is σ = 26660773601280. Its totient is φ = 3669818688000.

The previous prime is 10132144013191. The next prime is 10132144013207. The reversal of 10132144013200 is 231044123101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10132144013207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3063845947 + ... + 3063849253.

It is an arithmetic number, because the mean of its divisors is an integer number (111086556672).

Almost surely, 2^{10132144013200} is an apocalyptic number.

10132144013200 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 10132144013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13330386800640).

10132144013200 is an abundant number, since it is smaller than the sum of its proper divisors (16528629588080).

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

10132144013200 is a wasteful number, since it uses less digits than its factorization.

10132144013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10132144013200 its reverse (231044123101), we get a palindrome (10363188136301).

The spelling of 10132144013200 in words is "ten trillion, one hundred thirty-two billion, one hundred forty-four million, thirteen thousand, two hundred".