10131114321240 has 256 divisors, whose sum is σ = 33247919232000. Its totient is φ = 2449252270080.

The previous prime is 10131114321197. The next prime is 10131114321277. The reversal of 10131114321240 is 4212341113101.

10131114321240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10131114321240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2142335196 + ... + 2142339924.

It is an arithmetic number, because the mean of its divisors is an integer number (129874684500).

Almost surely, 2^{10131114321240} is an apocalyptic number.

10131114321240 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 10131114321240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623959616000).

10131114321240 is an abundant number, since it is smaller than the sum of its proper divisors (23116804910760).

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

10131114321240 is a wasteful number, since it uses less digits than its factorization.

10131114321240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8890 (or 8886 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 10131114321240 its reverse (4212341113101), we get a palindrome (14343455434341).

The spelling of 10131114321240 in words is "ten trillion, one hundred thirty-one billion, one hundred fourteen million, three hundred twenty-one thousand, two hundred forty".