1008381567131 has 2 divisors, whose sum is σ = 1008381567132. Its totient is φ = 1008381567130.

The previous prime is 1008381567101. The next prime is 1008381567187. The reversal of 1008381567131 is 1317651838001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1008381567131 - 2²⁶ = 1008314458267 is a prime.

It is a super-2 number, since 2×1008381567131² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1008381567101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504190783565 + 504190783566.

It is an arithmetic number, because the mean of its divisors is an integer number (504190783566).

Almost surely, 2^{1008381567131} is an apocalyptic number.

1008381567131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008381567131 is an equidigital number, since it uses as much as digits as its factorization.

1008381567131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 44.

The spelling of 1008381567131 in words is "one trillion, eight billion, three hundred eighty-one million, five hundred sixty-seven thousand, one hundred thirty-one".