10414213132312 has 64 divisors (see below), whose sum is σ = 22644956678400. Its totient is φ = 4440187440000.

The previous prime is 10414213132303. The next prime is 10414213132357. The reversal of 10414213132312 is 21323131241401.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 30665764 + ... + 31003507.

It is an arithmetic number, because the mean of its divisors is an integer number (353827448100).

Almost surely, 2^{10414213132312} is an apocalyptic number.

It is an amenable number.

10414213132312 is an abundant number, since it is smaller than the sum of its proper divisors (12230743546088).

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

10414213132312 is a wasteful number, since it uses less digits than its factorization.

10414213132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61669408 (or 61669404 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 10414213132312 its reverse (21323131241401), we get a palindrome (31737344373713).

The spelling of 10414213132312 in words is "ten trillion, four hundred fourteen billion, two hundred thirteen million, one hundred thirty-two thousand, three hundred twelve".