10304013401000 has 128 divisors (see below), whose sum is σ = 26305808780160. Its totient is φ = 3746561728000.

The previous prime is 10304013400979. The next prime is 10304013401009. The reversal of 10304013401000 is 10431040301.

It is a self number, because there is not a number n which added to its sum of digits gives 10304013401000.

It is not an unprimeable number, because it can be changed into a prime (10304013401009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136109159 + ... + 136184841.

It is an arithmetic number, because the mean of its divisors is an integer number (205514131095).

Almost surely, 2^{10304013401000} is an apocalyptic number.

10304013401000 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 10304013401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13152904390080).

10304013401000 is an abundant number, since it is smaller than the sum of its proper divisors (16001795379160).

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

10304013401000 is a wasteful number, since it uses less digits than its factorization.

10304013401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88092 (or 88078 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10304013401000 its reverse (10431040301), we get a palindrome (10314444441301).

The spelling of 10304013401000 in words is "ten trillion, three hundred four billion, thirteen million, four hundred one thousand".