1314124214131 has 16 divisors (see below), whose sum is σ = 1389437038080. Its totient is φ = 1240362280960.

The previous prime is 1314124214093. The next prime is 1314124214153.

1314124214131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1314124214131 is a prime.

It is a super-2 number, since 2×1314124214131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1314124214131.

It is not an unprimeable number, because it can be changed into a prime (1314124284131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1191411 + ... + 2011891.

It is an arithmetic number, because the mean of its divisors is an integer number (86839814880).

Almost surely, 2^{1314124214131} is an apocalyptic number.

1314124214131 is a deficient number, since it is larger than the sum of its proper divisors (75312823949).

1314124214131 is an equidigital number, since it uses as much as digits as its factorization.

1314124214131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821426.

The product of its digits is 2304, while the sum is 28.

The spelling of 1314124214131 in words is "one trillion, three hundred fourteen billion, one hundred twenty-four million, two hundred fourteen thousand, one hundred thirty-one".