10206565464131 has 16 divisors (see below), whose sum is σ = 10263350246400. Its totient is φ = 10149904950528.

The previous prime is 10206565464083. The next prime is 10206565464167. The reversal of 10206565464131 is 13146456560201.

It is a cyclic number.

It is not a de Polignac number, because 10206565464131 - 2¹⁴ = 10206565447747 is a prime.

It is a super-2 number, since 2×10206565464131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10206565364131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1341729530 + ... + 1341737136.

It is an arithmetic number, because the mean of its divisors is an integer number (641459390400).

Almost surely, 2^{10206565464131} is an apocalyptic number.

10206565464131 is a deficient number, since it is larger than the sum of its proper divisors (56784782269).

10206565464131 is an equidigital number, since it uses as much as digits as its factorization.

10206565464131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14818.

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 10206565464131 in words is "ten trillion, two hundred six billion, five hundred sixty-five million, four hundred sixty-four thousand, one hundred thirty-one".