10131114240240 has 320 divisors, whose sum is σ = 37845984844800. Its totient is φ = 2190101594112.

The previous prime is 10131114240217. The next prime is 10131114240277. The reversal of 10131114240240 is 4204241113101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10131114240240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18660946 + ... + 19196174.

It is an arithmetic number, because the mean of its divisors is an integer number (118268702640).

Almost surely, 2^{10131114240240} is an apocalyptic number.

10131114240240 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 10131114240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18922992422400).

10131114240240 is an abundant number, since it is smaller than the sum of its proper divisors (27714870604560).

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

10131114240240 is a wasteful number, since it uses less digits than its factorization.

10131114240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535864 (or 535858 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10131114240240 its reverse (4204241113101), we get a palindrome (14335355353341).

The spelling of 10131114240240 in words is "ten trillion, one hundred thirty-one billion, one hundred fourteen million, two hundred forty thousand, two hundred forty".