1001013330300 has 72 divisors (see below), whose sum is σ = 2937057766272. Its totient is φ = 263177208000.

The previous prime is 1001013330293. The next prime is 1001013330313. The reversal of 1001013330300 is 30333101001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001013330300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23476666 + ... + 23519265.

It is an arithmetic number, because the mean of its divisors is an integer number (40792468976).

Almost surely, 2^{1001013330300} is an apocalyptic number.

1001013330300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001013330300 is an abundant number, since it is smaller than the sum of its proper divisors (1936044435972).

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

1001013330300 is a wasteful number, since it uses less digits than its factorization.

1001013330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46996019 (or 46996012 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 1001013330300 its reverse (30333101001), we get a palindrome (1031346431301).

The spelling of 1001013330300 in words is "one trillion, one billion, thirteen million, three hundred thirty thousand, three hundred".