85128131031 has 32 divisors (see below), whose sum is σ = 121230950400. Its totient is φ = 52977224160.

The previous prime is 85128131021. The next prime is 85128131071. The reversal of 85128131031 is 13013182158.

It is not a de Polignac number, because 85128131031 - 2¹⁴ = 85128114647 is a prime.

It is a super-2 number, since 2×85128131031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85128130983 and 85128131001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85128131021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8441050 + ... + 8451128.

It is an arithmetic number, because the mean of its divisors is an integer number (3788467200).

Almost surely, 2^85128131031 is an apocalyptic number.

85128131031 is a deficient number, since it is larger than the sum of its proper divisors (36102819369).

85128131031 is a wasteful number, since it uses less digits than its factorization.

85128131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12259.

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 85128131031 in words is "eighty-five billion, one hundred twenty-eight million, one hundred thirty-one thousand, thirty-one".