13133044143100 has 144 divisors (see below), whose sum is σ = 32781157871616. Its totient is φ = 4473645696000.

The previous prime is 13133044143083. The next prime is 13133044143133. The reversal of 13133044143100 is 134144033131.

It is a super-2 number, since 2×13133044143100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72619389 + ... + 72800011.

It is an arithmetic number, because the mean of its divisors is an integer number (227646929664).

Almost surely, 2^{13133044143100} is an apocalyptic number.

13133044143100 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 13133044143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16390578935808).

13133044143100 is an abundant number, since it is smaller than the sum of its proper divisors (19648113728516).

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

13133044143100 is a wasteful number, since it uses less digits than its factorization.

13133044143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181316 (or 181309 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13133044143100 its reverse (134144033131), we get a palindrome (13267188176231).

The spelling of 13133044143100 in words is "thirteen trillion, one hundred thirty-three billion, forty-four million, one hundred forty-three thousand, one hundred".