10001300234000 has 160 divisors (see below), whose sum is σ = 25163685421056. Its totient is φ = 3841525209600.

The previous prime is 10001300233891. The next prime is 10001300234033. The reversal of 10001300234000 is 43200310001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3978257 + ... + 5985743.

Almost surely, 2^{10001300234000} is an apocalyptic number.

10001300234000 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 10001300234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12581842710528).

10001300234000 is an abundant number, since it is smaller than the sum of its proper divisors (15162385187056).

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

10001300234000 is a wasteful number, since it uses less digits than its factorization.

10001300234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007610 (or 2007594 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10001300234000 its reverse (43200310001), we get a palindrome (10044500544001).

The spelling of 10001300234000 in words is "ten trillion, one billion, three hundred million, two hundred thirty-four thousand".