10314140431120 has 20 divisors (see below), whose sum is σ = 23980376502540. Its totient is φ = 4125656172416.

The previous prime is 10314140431099. The next prime is 10314140431121. The reversal of 10314140431120 is 2113404141301.

It can be written as a sum of positive squares in 2 ways, for example, as 7016734783744 + 3297405647376 = 2648912^2 + 1815876^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (10314140431121) 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 3 ways as a sum of consecutive naturals, for example, 64463377615 + ... + 64463377774.

It is an arithmetic number, because the mean of its divisors is an integer number (1199018825127).

Almost surely, 2^{10314140431120} is an apocalyptic number.

10314140431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10314140431120 is an abundant number, since it is smaller than the sum of its proper divisors (13666236071420).

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

10314140431120 is a wasteful number, since it uses less digits than its factorization.

10314140431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128926755402 (or 128926755396 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10314140431120 its reverse (2113404141301), we get a palindrome (12427544572421).

The spelling of 10314140431120 in words is "ten trillion, three hundred fourteen billion, one hundred forty million, four hundred thirty-one thousand, one hundred twenty".