10100131302000 has 320 divisors, whose sum is σ = 34292640844800. Its totient is φ = 2550422246400.

The previous prime is 10100131301999. The next prime is 10100131302017. The reversal of 10100131302000 is 20313100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 63 ways as a sum of consecutive naturals, for example, 258646477 + ... + 258685523.

It is an arithmetic number, because the mean of its divisors is an integer number (107164502640).

Almost surely, 2^{10100131302000} is an apocalyptic number.

10100131302000 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 10100131302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146320422400).

10100131302000 is an abundant number, since it is smaller than the sum of its proper divisors (24192509542800).

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

10100131302000 is a wasteful number, since it uses less digits than its factorization.

10100131302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41361 (or 41345 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10100131302000 its reverse (20313100101), we get a palindrome (10120444402101).

The spelling of 10100131302000 in words is "ten trillion, one hundred billion, one hundred thirty-one million, three hundred two thousand".