10131423514240 has 256 divisors, whose sum is σ = 27931274219520. Its totient is φ = 3442285154304.

The previous prime is 10131423514237. The next prime is 10131423514321. The reversal of 10131423514240 is 4241532413101.

It is a happy number.

10131423514240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253373289 + ... + 253413271.

It is an arithmetic number, because the mean of its divisors is an integer number (109106539920).

Almost surely, 2^{10131423514240} is an apocalyptic number.

10131423514240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131423514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13965637109760).

10131423514240 is an abundant number, since it is smaller than the sum of its proper divisors (17799850705280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131423514240 is a wasteful number, since it uses less digits than its factorization.

10131423514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40519 (or 40507 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 10131423514240 its reverse (4241532413101), we get a palindrome (14372955927341).

The spelling of 10131423514240 in words is "ten trillion, one hundred thirty-one billion, four hundred twenty-three million, five hundred fourteen thousand, two hundred forty".