10131008128668 has 504 divisors, whose sum is σ = 31966238392704. Its totient is φ = 2797064524800.

The previous prime is 10131008128639. The next prime is 10131008128669. The reversal of 10131008128668 is 86682180013101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131008128669) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4150350328 + ... + 4150352768.

It is an arithmetic number, because the mean of its divisors is an integer number (63425076176).

Almost surely, 2^{10131008128668} is an apocalyptic number.

10131008128668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131008128668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15983119196352).

10131008128668 is an abundant number, since it is smaller than the sum of its proper divisors (21835230264036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131008128668 is a wasteful number, since it uses less digits than its factorization.

10131008128668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 10131008128668 in words is "ten trillion, one hundred thirty-one billion, eight million, one hundred twenty-eight thousand, six hundred sixty-eight".