100213112314 has 32 divisors (see below), whose sum is σ = 175411042560. Its totient is φ = 42053565312.

The previous prime is 100213112309. The next prime is 100213112347. The reversal of 100213112314 is 413211312001.

It is a junction number, because it is equal to n+sod(n) for n = 100213112291 and 100213112300.

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 15 ways as a sum of consecutive naturals, for example, 262089 + ... + 518764.

It is an arithmetic number, because the mean of its divisors is an integer number (5481595080).

Almost surely, 2^100213112314 is an apocalyptic number.

100213112314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100213112314 is a deficient number, since it is larger than the sum of its proper divisors (75197930246).

100213112314 is a wasteful number, since it uses less digits than its factorization.

100213112314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781054.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100213112314 its reverse (413211312001), we get a palindrome (513424424315).

The spelling of 100213112314 in words is "one hundred billion, two hundred thirteen million, one hundred twelve thousand, three hundred fourteen".