10334134535120 has 40 divisors (see below), whose sum is σ = 26211123050400. Its totient is φ = 3757867103360.

The previous prime is 10334134535093. The next prime is 10334134535147. The reversal of 10334134535120 is 2153543143301.

It is an interprime number because it is at equal distance from previous prime (10334134535093) and next prime (10334134535147).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5871666470 + ... + 5871668229.

It is an arithmetic number, because the mean of its divisors is an integer number (655278076260).

Almost surely, 2^{10334134535120} is an apocalyptic number.

10334134535120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10334134535120 is an abundant number, since it is smaller than the sum of its proper divisors (15876988515280).

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

10334134535120 is a wasteful number, since it uses less digits than its factorization.

10334134535120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11743334723 (or 11743334717 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 10334134535120 its reverse (2153543143301), we get a palindrome (12487677678421).

The spelling of 10334134535120 in words is "ten trillion, three hundred thirty-four billion, one hundred thirty-four million, five hundred thirty-five thousand, one hundred twenty".