10000101321314 has 32 divisors (see below), whose sum is σ = 16223531237760. Its totient is φ = 4595574009600.

The previous prime is 10000101321313. The next prime is 10000101321317. The reversal of 10000101321314 is 41312310100001.

It is a junction number, because it is equal to n+sod(n) for n = 10000101321292 and 10000101321301.

It is not an unprimeable number, because it can be changed into a prime (10000101321313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41806547 + ... + 42045065.

It is an arithmetic number, because the mean of its divisors is an integer number (506985351180).

Almost surely, 2^{10000101321314} is an apocalyptic number.

10000101321314 is a deficient number, since it is larger than the sum of its proper divisors (6223429916446).

10000101321314 is a wasteful number, since it uses less digits than its factorization.

10000101321314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245466.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10000101321314 its reverse (41312310100001), we get a palindrome (51312411421315).

The spelling of 10000101321314 in words is "ten trillion, one hundred one million, three hundred twenty-one thousand, three hundred fourteen".