13142235341000 has 256 divisors, whose sum is σ = 32363384414400. Its totient is φ = 4988003328000.

The previous prime is 13142235340999. The next prime is 13142235341033. The reversal of 13142235341000 is 14353224131.

13142235341000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 8378396546116 + 4763838794884 = 2894546^2 + 2182622^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 2570354444 + ... + 2570359556.

Almost surely, 2^{13142235341000} is an apocalyptic number.

13142235341000 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 13142235341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16181692207200).

13142235341000 is an abundant number, since it is smaller than the sum of its proper divisors (19221149073400).

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

13142235341000 is a wasteful number, since it uses less digits than its factorization.

13142235341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6677 (or 6663 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 13142235341000 its reverse (14353224131), we get a palindrome (13156588565131).

The spelling of 13142235341000 in words is "thirteen trillion, one hundred forty-two billion, two hundred thirty-five million, three hundred forty-one thousand".