10134004342000 has 240 divisors, whose sum is σ = 30781917706176. Its totient is φ = 3158650176000.

The previous prime is 10134004341997. The next prime is 10134004342003. The reversal of 10134004342000 is 24340043101.

10134004342000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10134004341997) and next prime (10134004342003).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134004342003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1297147 + ... + 4685146.

Almost surely, 2^{10134004342000} is an apocalyptic number.

10134004342000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10134004342000 is an abundant number, since it is smaller than the sum of its proper divisors (20647913364176).

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

10134004342000 is a wasteful number, since it uses less digits than its factorization.

10134004342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5982345 (or 5982318 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10134004342000 its reverse (24340043101), we get a palindrome (10158344385101).

The spelling of 10134004342000 in words is "ten trillion, one hundred thirty-four billion, four million, three hundred forty-two thousand".