10131300102000 has 640 divisors, whose sum is σ = 41126478022656. Its totient is φ = 2084352000000.

The previous prime is 10131300101971. The next prime is 10131300102043. The reversal of 10131300102000 is 20100313101.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46553440 + ... + 46770560.

Almost surely, 2^{10131300102000} is an apocalyptic number.

10131300102000 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 10131300102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563239011328).

10131300102000 is an abundant number, since it is smaller than the sum of its proper divisors (30995177920656).

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

10131300102000 is a wasteful number, since it uses less digits than its factorization.

10131300102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217266 (or 217250 counting only the distinct ones).

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

Adding to 10131300102000 its reverse (20100313101), we get a palindrome (10151400415101).

The spelling of 10131300102000 in words is "ten trillion, one hundred thirty-one billion, three hundred million, one hundred two thousand".