10100331310000 has 200 divisors, whose sum is σ = 24703680291840. Its totient is φ = 3998944512000.

The previous prime is 10100331309967. The next prime is 10100331310007. The reversal of 10100331310000 is 1313300101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×10100331310000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10100331310007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1195725777 + ... + 1195734223.

Almost surely, 2^{10100331310000} is an apocalyptic number.

10100331310000 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 10100331310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12351840145920).

10100331310000 is an abundant number, since it is smaller than the sum of its proper divisors (14603348981840).

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

10100331310000 is a wasteful number, since it uses less digits than its factorization.

10100331310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9681 (or 9660 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10100331310000 its reverse (1313300101), we get a palindrome (10101644610101).

The spelling of 10100331310000 in words is "ten trillion, one hundred billion, three hundred thirty-one million, three hundred ten thousand".