13335102144 has 448 divisors, whose sum is σ = 48680217600. Its totient is φ = 3485638656.

The previous prime is 13335102097. The next prime is 13335102169. The reversal of 13335102144 is 44120153331.

It is a happy number.

13335102144 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 510 + 2 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21542667 + ... + 21543285.

It is an arithmetic number, because the mean of its divisors is an integer number (108661200).

Almost surely, 2^13335102144 is an apocalyptic number.

13335102144 is a gapful number since it is divisible by the number (14) 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 13335102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24340108800).

13335102144 is an abundant number, since it is smaller than the sum of its proper divisors (35345115456).

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

13335102144 is a wasteful number, since it uses less digits than its factorization.

13335102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13335102144 its reverse (44120153331), we get a palindrome (57455255475).

The spelling of 13335102144 in words is "thirteen billion, three hundred thirty-five million, one hundred two thousand, one hundred forty-four".