10300323413000 has 128 divisors (see below), whose sum is σ = 24295586515200. Its totient is φ = 4087190016000.

The previous prime is 10300323412963. The next prime is 10300323413021. The reversal of 10300323413000 is 31432300301.

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 31 ways as a sum of consecutive naturals, for example, 403336232 + ... + 403361768.

It is an arithmetic number, because the mean of its divisors is an integer number (189809269650).

Almost surely, 2^{10300323413000} is an apocalyptic number.

10300323413000 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 10300323413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147793257600).

10300323413000 is an abundant number, since it is smaller than the sum of its proper divisors (13995263102200).

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

10300323413000 is a wasteful number, since it uses less digits than its factorization.

10300323413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28768 (or 28754 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10300323413000 its reverse (31432300301), we get a palindrome (10331755713301).

The spelling of 10300323413000 in words is "ten trillion, three hundred billion, three hundred twenty-three million, four hundred thirteen thousand".