8142731033031 has 64 divisors (see below), whose sum is σ = 14232934440960. Its totient is φ = 4502396067840.

The previous prime is 8142731032957. The next prime is 8142731033057. The reversal of 8142731033031 is 1303301372418.

8142731033031 is a `hidden beast` number, since 8 + 1 + 4 + 2 + 7 + 310 + 330 + 3 + 1 = 666.

It is not a de Polignac number, because 8142731033031 - 2¹⁹ = 8142730508743 is a prime.

It is a super-2 number, since 2×8142731033031² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8142731033131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56625735 + ... + 56769351.

It is an arithmetic number, because the mean of its divisors is an integer number (222389600640).

Almost surely, 2^{8142731033031} is an apocalyptic number.

8142731033031 is a deficient number, since it is larger than the sum of its proper divisors (6090203407929).

8142731033031 is a wasteful number, since it uses less digits than its factorization.

8142731033031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153341 (or 153335 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 8142731033031 in words is "eight trillion, one hundred forty-two billion, seven hundred thirty-one million, thirty-three thousand, thirty-one".