100301012313000 has 128 divisors (see below), whose sum is σ = 323730164160000. Its totient is φ = 25824628435200.

The previous prime is 100301012312999. The next prime is 100301012313023. The reversal of 100301012313000 is 313210103001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576355600 + ... + 576529599.

It is an arithmetic number, because the mean of its divisors is an integer number (2529141907500).

Almost surely, 2^{100301012313000} is an apocalyptic number.

100301012313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100301012313000 is an abundant number, since it is smaller than the sum of its proper divisors (223429151847000).

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

100301012313000 is a wasteful number, since it uses less digits than its factorization.

100301012313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152885252 (or 1152885238 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100301012313000 its reverse (313210103001), we get a palindrome (100614222416001).

The spelling of 100301012313000 in words is "one hundred trillion, three hundred one billion, twelve million, three hundred thirteen thousand".