10133414134000 has 80 divisors (see below), whose sum is σ = 25792205755680. Its totient is φ = 3840030604800.

The previous prime is 10133414133977. The next prime is 10133414134007. The reversal of 10133414134000 is 43141433101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10133414134000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133414134007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133296397 + ... + 133372396.

It is an arithmetic number, because the mean of its divisors is an integer number (322402571946).

Almost surely, 2^{10133414134000} is an apocalyptic number.

10133414134000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10133414134000 is an abundant number, since it is smaller than the sum of its proper divisors (15658791621680).

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

10133414134000 is a wasteful number, since it uses less digits than its factorization.

10133414134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266668835 (or 266668819 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10133414134000 its reverse (43141433101), we get a palindrome (10176555567101).

The spelling of 10133414134000 in words is "ten trillion, one hundred thirty-three billion, four hundred fourteen million, one hundred thirty-four thousand".