10081431466129 has 27 divisors (see below), whose sum is σ = 10632229531497. Its totient is φ = 9558376919784.

The previous prime is 10081431466091. The next prime is 10081431466163. The reversal of 10081431466129 is 92166413418001.

The square root of 10081431466129 is 3175127.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 10081431466129 - 2³⁵ = 10047071727761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10081431466189) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9274545424 + ... + 9274546510.

Almost surely, 2^{10081431466129} is an apocalyptic number.

10081431466129 is the 3175127-th square number.

10081431466129 is the 1587564-th centered octagonal number.

It is an amenable number.

10081431466129 is a deficient number, since it is larger than the sum of its proper divisors (550798065368).

10081431466129 is an frugal number, since it uses more digits than its factorization.

10081431466129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 10081431466129 in words is "ten trillion, eighty-one billion, four hundred thirty-one million, four hundred sixty-six thousand, one hundred twenty-nine".