10141334000000 has 336 divisors, whose sum is σ = 29377357168140. Its totient is φ = 3476995200000.

The previous prime is 10141333999997. The next prime is 10141334000069. The reversal of 10141334000000 is 43314101.

It is a super-5 number, since 5×10141334000000⁵ (a number of 66 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 97948259 + ... + 98051741.

Almost surely, 2^{10141334000000} is an apocalyptic number.

10141334000000 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 10141334000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688678584070).

10141334000000 is an abundant number, since it is smaller than the sum of its proper divisors (19236023168140).

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

10141334000000 is an frugal number, since it uses more digits than its factorization.

10141334000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103541 (or 103497 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10141334000000 its reverse (43314101), we get a palindrome (10141377314101).

The spelling of 10141334000000 in words is "ten trillion, one hundred forty-one billion, three hundred thirty-four million", and thus it is an aban number.