10131235262240 has 24 divisors (see below), whose sum is σ = 23935043307420. Its totient is φ = 4052494104832.

The previous prime is 10131235262237. The next prime is 10131235262311. The reversal of 10131235262240 is 4226253213101.

It can be written as a sum of positive squares in 2 ways, for example, as 9812105175184 + 319130087056 = 3132428^2 + 564916^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10131235262197 and 10131235262206.

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 3 ways as a sum of consecutive naturals, for example, 31660110035 + ... + 31660110354.

Almost surely, 2^{10131235262240} is an apocalyptic number.

10131235262240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131235262240 is an abundant number, since it is smaller than the sum of its proper divisors (13803808045180).

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

10131235262240 is an equidigital number, since it uses as much as digits as its factorization.

10131235262240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63320220404 (or 63320220396 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 10131235262240 its reverse (4226253213101), we get a palindrome (14357488475341).

The spelling of 10131235262240 in words is "ten trillion, one hundred thirty-one billion, two hundred thirty-five million, two hundred sixty-two thousand, two hundred forty".