1314224224131 has 48 divisors (see below), whose sum is σ = 2189996663040. Its totient is φ = 686353449600.

The previous prime is 1314224224123. The next prime is 1314224224139.

It is a happy number.

1314224224131 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1314224224123) and next prime (1314224224139).

It is not a de Polignac number, because 1314224224131 - 2³ = 1314224224123 is a prime.

It is a super-2 number, since 2×1314224224131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1314224224139) 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, 1474761 + ... + 2191658.

It is an arithmetic number, because the mean of its divisors is an integer number (45624930480).

Almost surely, 2^{1314224224131} is an apocalyptic number.

1314224224131 is a deficient number, since it is larger than the sum of its proper divisors (875772438909).

1314224224131 is a wasteful number, since it uses less digits than its factorization.

1314224224131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666556 (or 3666543 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The spelling of 1314224224131 in words is "one trillion, three hundred fourteen billion, two hundred twenty-four million, two hundred twenty-four thousand, one hundred thirty-one".