1314413121 has 16 divisors (see below), whose sum is σ = 2049496064. Its totient is φ = 733625424.

The previous prime is 1314413119. The next prime is 1314413159. The reversal of 1314413121 is 1213144131.

It is not a de Polignac number, because 1314413121 - 2¹ = 1314413119 is a prime.

It is a super-3 number, since 3×1314413121³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1314413161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726901 + ... + 728706.

It is an arithmetic number, because the mean of its divisors is an integer number (128093504).

Almost surely, 2^1314413121 is an apocalyptic number.

It is an amenable number.

1314413121 is a deficient number, since it is larger than the sum of its proper divisors (735082943).

1314413121 is a wasteful number, since it uses less digits than its factorization.

1314413121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455660.

The product of its digits is 288, while the sum is 21.

The square root of 1314413121 is about 36254.8358291691. The cubic root of 1314413121 is about 1095.4114981419.

Adding to 1314413121 its reverse (1213144131), we get a palindrome (2527557252).

The spelling of 1314413121 in words is "one billion, three hundred fourteen million, four hundred thirteen thousand, one hundred twenty-one".