10134143313000 has 768 divisors, whose sum is σ = 36960503523840. Its totient is φ = 2264537088000.

The previous prime is 10134143312971. The next prime is 10134143313043. The reversal of 10134143313000 is 31334143101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15331532670 + ... + 15331533330.

It is an arithmetic number, because the mean of its divisors is an integer number (48125655630).

Almost surely, 2^{10134143313000} is an apocalyptic number.

10134143313000 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 10134143313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480251761920).

10134143313000 is an abundant number, since it is smaller than the sum of its proper divisors (26826360210840).

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

10134143313000 is a wasteful number, since it uses less digits than its factorization.

10134143313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10134143313000 its reverse (31334143101), we get a palindrome (10165477456101).

The spelling of 10134143313000 in words is "ten trillion, one hundred thirty-four billion, one hundred forty-three million, three hundred thirteen thousand".