13143002880 has 288 divisors, whose sum is σ = 48407675904. Its totient is φ = 2976841728.

The previous prime is 13143002869. The next prime is 13143002881. The reversal of 13143002880 is 8820034131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13143002881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3035277 + ... + 3039603.

It is an arithmetic number, because the mean of its divisors is an integer number (168082208).

Almost surely, 2^13143002880 is an apocalyptic number.

13143002880 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 13143002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24203837952).

13143002880 is an abundant number, since it is smaller than the sum of its proper divisors (35264673024).

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

13143002880 is a wasteful number, since it uses less digits than its factorization.

13143002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4471 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 13143002880 in words is "thirteen billion, one hundred forty-three million, two thousand, eight hundred eighty".