1414031213131 has 32 divisors (see below), whose sum is σ = 1500112373760. Its totient is φ = 1330770470400.

The previous prime is 1414031213123. The next prime is 1414031213173. The reversal of 1414031213131 is 1313121304141.

It is a cyclic number.

It is not a de Polignac number, because 1414031213131 - 2³ = 1414031213123 is a prime.

It is a super-2 number, since 2×1414031213131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1414031213096 and 1414031213105.

It is not an unprimeable number, because it can be changed into a prime (1414031219131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333417171 + ... + 333421411.

It is an arithmetic number, because the mean of its divisors is an integer number (46878511680).

Almost surely, 2^{1414031213131} is an apocalyptic number.

1414031213131 is a deficient number, since it is larger than the sum of its proper divisors (86081160629).

1414031213131 is a wasteful number, since it uses less digits than its factorization.

1414031213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 1414031213131 its reverse (1313121304141), we get a palindrome (2727152517272).

The spelling of 1414031213131 in words is "one trillion, four hundred fourteen billion, thirty-one million, two hundred thirteen thousand, one hundred thirty-one".