10011312100314 has 48 divisors (see below), whose sum is σ = 25257649951872. Its totient is φ = 2806405546464.

The previous prime is 10011312100301. The next prime is 10011312100469. The reversal of 10011312100314 is 41300121311001.

It is a happy number.

10011312100314 is a `hidden beast` number, since 10 + 0 + 1 + 131 + 210 + 0 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 749567454 + ... + 749580809.

It is an arithmetic number, because the mean of its divisors is an integer number (526201040664).

Almost surely, 2^{10011312100314} is an apocalyptic number.

10011312100314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10011312100314 is an abundant number, since it is smaller than the sum of its proper divisors (15246337851558).

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

10011312100314 is a wasteful number, since it uses less digits than its factorization.

10011312100314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499148331 (or 1499148328 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10011312100314 its reverse (41300121311001), we get a palindrome (51311433411315).

The spelling of 10011312100314 in words is "ten trillion, eleven billion, three hundred twelve million, one hundred thousand, three hundred fourteen".