1414013121 has 24 divisors (see below), whose sum is σ = 2061221864. Its totient is φ = 934053120.

The previous prime is 1414013119. The next prime is 1414013141. The reversal of 1414013121 is 1213104141.

1414013121 is a `hidden beast` number, since 141 + 401 + 3 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21902400 + 1392110721 = 4680^2 + 37311^2 .

It is not a de Polignac number, because 1414013121 - 2¹ = 1414013119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1414013094 and 1414013103.

It is not an unprimeable number, because it can be changed into a prime (1414013141) 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, 593685 + ... + 596061.

Almost surely, 2^1414013121 is an apocalyptic number.

It is an amenable number.

1414013121 is a deficient number, since it is larger than the sum of its proper divisors (647208743).

1414013121 is a wasteful number, since it uses less digits than its factorization.

1414013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1414013121 is about 37603.3658200965. The cubic root of 1414013121 is about 1122.4090156627.

Adding to 1414013121 its reverse (1213104141), we get a palindrome (2627117262).

It can be divided in two parts, 14140 and 13121, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 1414013121 in words is "one billion, four hundred fourteen million, thirteen thousand, one hundred twenty-one".