10131026610000 has 1600 divisors, whose sum is σ = 36560955949056. Its totient is φ = 2409523200000.

The previous prime is 10131026609989. The next prime is 10131026610071. The reversal of 10131026610000 is 1662013101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 60664829917 + ... + 60664830083.

Almost surely, 2^{10131026610000} is an apocalyptic number.

10131026610000 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 10131026610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280477974528).

10131026610000 is an abundant number, since it is smaller than the sum of its proper divisors (26429929339056).

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

10131026610000 is a wasteful number, since it uses less digits than its factorization.

10131026610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10131026610000 its reverse (1662013101), we get a palindrome (10132688623101).

The spelling of 10131026610000 in words is "ten trillion, one hundred thirty-one billion, twenty-six million, six hundred ten thousand".