10131204114024 has 128 divisors (see below), whose sum is σ = 29242905569280. Its totient is φ = 2864988576000.

The previous prime is 10131204114023. The next prime is 10131204114037. The reversal of 10131204114024 is 42041140213101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10131204113985 and 10131204114003.

It is not an unprimeable number, because it can be changed into a prime (10131204114023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50175429 + ... + 50376939.

It is an arithmetic number, because the mean of its divisors is an integer number (228460199760).

Almost surely, 2^{10131204114024} is an apocalyptic number.

10131204114024 is a gapful number since it is divisible by the number (14) 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 10131204114024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14621452784640).

10131204114024 is an abundant number, since it is smaller than the sum of its proper divisors (19111701455256).

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

10131204114024 is a wasteful number, since it uses less digits than its factorization.

10131204114024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204591 (or 204587 counting only the distinct ones).

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

Adding to 10131204114024 its reverse (42041140213101), we get a palindrome (52172344327125).

The spelling of 10131204114024 in words is "ten trillion, one hundred thirty-one billion, two hundred four million, one hundred fourteen thousand, twenty-four".