6131006666301 has 48 divisors (see below), whose sum is σ = 9231586749504. Its totient is φ = 3614022720000.

The previous prime is 6131006666263. The next prime is 6131006666311. The reversal of 6131006666301 is 1036666001316.

It is not a de Polignac number, because 6131006666301 - 2¹⁵ = 6131006633533 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6131006666301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6131006666311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37538746 + ... + 37701716.

It is an arithmetic number, because the mean of its divisors is an integer number (192324723948).

Almost surely, 2^{6131006666301} is an apocalyptic number.

It is an amenable number.

6131006666301 is a deficient number, since it is larger than the sum of its proper divisors (3100580083203).

6131006666301 is a wasteful number, since it uses less digits than its factorization.

6131006666301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165834 (or 165823 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 6131006666301 in words is "six trillion, one hundred thirty-one billion, six million, six hundred sixty-six thousand, three hundred one".