1314005121 has 48 divisors (see below), whose sum is σ = 2256875712. Its totient is φ = 726192000.

The previous prime is 1314005117. The next prime is 1314005207. The reversal of 1314005121 is 1215004131.

1314005121 is a `hidden beast` number, since 13 + 140 + 0 + 512 + 1 = 666.

It is not a de Polignac number, because 1314005121 - 2² = 1314005117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1314005094 and 1314005103.

It is not an unprimeable number, because it can be changed into a prime (1314005101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100671 + ... + 112971.

It is an arithmetic number, because the mean of its divisors is an integer number (47018244).

Almost surely, 2^1314005121 is an apocalyptic number.

1314005121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1314005121 is a deficient number, since it is larger than the sum of its proper divisors (942870591).

1314005121 is a wasteful number, since it uses less digits than its factorization.

1314005121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12414 (or 12411 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1314005121 is about 36249.2085568775. The cubic root of 1314005121 is about 1095.2981461232.

Adding to 1314005121 its reverse (1215004131), we get a palindrome (2529009252).

The spelling of 1314005121 in words is "one billion, three hundred fourteen million, five thousand, one hundred twenty-one".