414012101113 has 16 divisors (see below), whose sum is σ = 451551315600. Its totient is φ = 377311011840.

The previous prime is 414012101057. The next prime is 414012101117. The reversal of 414012101113 is 311101210414.

It can be written as a sum of positive squares in 8 ways, for example, as 28516401424 + 385495699689 = 168868^2 + 620883^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414012101113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414012101117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121708 + ... + 918061.

It is an arithmetic number, because the mean of its divisors is an integer number (28221957225).

Almost surely, 2^414012101113 is an apocalyptic number.

It is an amenable number.

414012101113 is a deficient number, since it is larger than the sum of its proper divisors (37539214487).

414012101113 is a wasteful number, since it uses less digits than its factorization.

414012101113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040172.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 414012101113 its reverse (311101210414), we get a palindrome (725113311527).

The spelling of 414012101113 in words is "four hundred fourteen billion, twelve million, one hundred one thousand, one hundred thirteen".