131218137829 has 2 divisors, whose sum is σ = 131218137830. Its totient is φ = 131218137828.

The previous prime is 131218137803. The next prime is 131218137851. The reversal of 131218137829 is 928731812131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128004381729 + 3213756100 = 357777^2 + 56690^2 .

It is an emirp because it is prime and its reverse (928731812131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131218137829 - 2⁹ = 131218137317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131218137229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65609068914 + 65609068915.

It is an arithmetic number, because the mean of its divisors is an integer number (65609068915).

Almost surely, 2^131218137829 is an apocalyptic number.

It is an amenable number.

131218137829 is a deficient number, since it is larger than the sum of its proper divisors (1).

131218137829 is an equidigital number, since it uses as much as digits as its factorization.

131218137829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 145152, while the sum is 46.

The spelling of 131218137829 in words is "one hundred thirty-one billion, two hundred eighteen million, one hundred thirty-seven thousand, eight hundred twenty-nine".