10142120341314 has 48 divisors (see below), whose sum is σ = 23665704262200. Its totient is φ = 3120552615168.

The previous prime is 10142120341313. The next prime is 10142120341363. The reversal of 10142120341314 is 41314302124101.

It is a happy number.

10142120341314 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 1 + 2 + 0 + 341 + 314 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1258042640625 + 8884077700689 = 1121625^2 + 2980617^2 .

It is not an unprimeable number, because it can be changed into a prime (10142120341313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6813072 + ... + 8167140.

Almost surely, 2^{10142120341314} is an apocalyptic number.

10142120341314 is an abundant number, since it is smaller than the sum of its proper divisors (13523583920886).

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

10142120341314 is a wasteful number, since it uses less digits than its factorization.

10142120341314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386099 (or 1386096 counting only the distinct ones).

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

Adding to 10142120341314 its reverse (41314302124101), we get a palindrome (51456422465415).

The spelling of 10142120341314 in words is "ten trillion, one hundred forty-two billion, one hundred twenty million, three hundred forty-one thousand, three hundred fourteen".