1314242101314 has 256 divisors, whose sum is σ = 3140222976000. Its totient is φ = 406716448320.

The previous prime is 1314242101307. The next prime is 1314242101331. The reversal of 1314242101314 is 4131012424131.

It is a happy number.

1314242101314 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 242 + 101 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1359091659 + ... + 1359092625.

It is an arithmetic number, because the mean of its divisors is an integer number (12266496000).

Almost surely, 2^{1314242101314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314242101314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570111488000).

1314242101314 is an abundant number, since it is smaller than the sum of its proper divisors (1825980874686).

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

1314242101314 is a wasteful number, since it uses less digits than its factorization.

1314242101314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1364 counting only the distinct ones).

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

Adding to 1314242101314 its reverse (4131012424131), we get a palindrome (5445254525445).

The spelling of 1314242101314 in words is "one trillion, three hundred fourteen billion, two hundred forty-two million, one hundred one thousand, three hundred fourteen".