10033134410000 has 200 divisors, whose sum is σ = 26275095827904. Its totient is φ = 3688211520000.

The previous prime is 10033134409997. The next prime is 10033134410021. The reversal of 10033134410000 is 1443133001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29340005 + ... + 29679995.

Almost surely, 2^{10033134410000} is an apocalyptic number.

10033134410000 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 10033134410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13137547913952).

10033134410000 is an abundant number, since it is smaller than the sum of its proper divisors (16241961417904).

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

10033134410000 is a wasteful number, since it uses less digits than its factorization.

10033134410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340259 (or 340238 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10033134410000 its reverse (1443133001), we get a palindrome (10034577543001).

The spelling of 10033134410000 in words is "ten trillion, thirty-three billion, one hundred thirty-four million, four hundred ten thousand".