13142500000 has 192 divisors, whose sum is σ = 37012405248. Its totient is φ = 4500000000.

The previous prime is 13142499991. The next prime is 13142500037. The reversal of 13142500000 is 524131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17499625 + ... + 17500375.

It is an arithmetic number, because the mean of its divisors is an integer number (192772944).

Almost surely, 2^13142500000 is an apocalyptic number.

13142500000 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 13142500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506202624).

13142500000 is an abundant number, since it is smaller than the sum of its proper divisors (23869905248).

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

13142500000 is an frugal number, since it uses more digits than its factorization.

13142500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The spelling of 13142500000 in words is "thirteen billion, one hundred forty-two million, five hundred thousand".