10131410402000 has 40 divisors (see below), whose sum is σ = 24497750356872. Its totient is φ = 4052564160000.

The previous prime is 10131410401963. The next prime is 10131410402011. The reversal of 10131410402000 is 20401413101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1225865267344 + 8905545134656 = 1107188^2 + 2984216^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 10131410402000.

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 7 ways as a sum of consecutive naturals, for example, 2532850601 + ... + 2532854600.

Almost surely, 2^{10131410402000} is an apocalyptic number.

10131410402000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131410402000 is an abundant number, since it is smaller than the sum of its proper divisors (14366339954872).

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

10131410402000 is an equidigital number, since it uses as much as digits as its factorization.

10131410402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5065705224 (or 5065705208 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10131410402000 its reverse (20401413101), we get a palindrome (10151811815101).

The spelling of 10131410402000 in words is "ten trillion, one hundred thirty-one billion, four hundred ten million, four hundred two thousand".