10131312111123 has 64 divisors (see below), whose sum is σ = 16632822272000. Its totient is φ = 5355726687360.

The previous prime is 10131312111101. The next prime is 10131312111157. The reversal of 10131312111123 is 32111121313101.

It is not a de Polignac number, because 10131312111123 - 2¹⁰ = 10131312110099 is a prime.

It is a super-2 number, since 2×10131312111123² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10131312111123.

It is not an unprimeable number, because it can be changed into a prime (10131312112123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70254513 + ... + 70398573.

It is an arithmetic number, because the mean of its divisors is an integer number (259887848000).

Almost surely, 2^{10131312111123} is an apocalyptic number.

10131312111123 is a deficient number, since it is larger than the sum of its proper divisors (6501510160877).

10131312111123 is a wasteful number, since it uses less digits than its factorization.

10131312111123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148232.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 10131312111123 its reverse (32111121313101), we get a palindrome (42242433424224).

The spelling of 10131312111123 in words is "ten trillion, one hundred thirty-one billion, three hundred twelve million, one hundred eleven thousand, one hundred twenty-three".