10731012431137 has 16 divisors (see below), whose sum is σ = 11735022362112. Its totient is φ = 9768769032960.

The previous prime is 10731012431077. The next prime is 10731012431327. The reversal of 10731012431137 is 73113421013701.

It is a cyclic number.

It is not a de Polignac number, because 10731012431137 - 2¹⁵ = 10731012398369 is a prime.

It is a super-2 number, since 2×10731012431137² (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 (10731012434137) 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, 4435023 + ... + 6413380.

It is an arithmetic number, because the mean of its divisors is an integer number (733438897632).

Almost surely, 2^{10731012431137} is an apocalyptic number.

10731012431137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10731012431137 is a deficient number, since it is larger than the sum of its proper divisors (1004009930975).

10731012431137 is a wasteful number, since it uses less digits than its factorization.

10731012431137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10850328.

The product of its (nonzero) digits is 10584, while the sum is 34.

Adding to 10731012431137 its reverse (73113421013701), we get a palindrome (83844433444838).

The spelling of 10731012431137 in words is "ten trillion, seven hundred thirty-one billion, twelve million, four hundred thirty-one thousand, one hundred thirty-seven".