10314104412312 has 192 divisors, whose sum is σ = 29479215168000. Its totient is φ = 3248788435200.

The previous prime is 10314104412253. The next prime is 10314104412349. The reversal of 10314104412312 is 21321440141301.

It is a happy number.

10314104412312 is a `hidden beast` number, since 10 + 3 + 1 + 410 + 4 + 4 + 1 + 231 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2438897014 + ... + 2438901242.

It is an arithmetic number, because the mean of its divisors is an integer number (153537579000).

Almost surely, 2^{10314104412312} is an apocalyptic number.

10314104412312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314104412312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14739607584000).

10314104412312 is an abundant number, since it is smaller than the sum of its proper divisors (19165110755688).

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

10314104412312 is a wasteful number, since it uses less digits than its factorization.

10314104412312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8382 (or 8375 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10314104412312 its reverse (21321440141301), we get a palindrome (31635544553613).

The spelling of 10314104412312 in words is "ten trillion, three hundred fourteen billion, one hundred four million, four hundred twelve thousand, three hundred twelve".