10131314200020 has 384 divisors, whose sum is σ = 36243815731200. Its totient is φ = 2329956389376.

The previous prime is 10131314200003. The next prime is 10131314200027. The reversal of 10131314200020 is 2000241313101.

10131314200020 is a `hidden beast` number, since 1 + 0 + 131 + 314 + 200 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10131314199966 and 10131314200002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131314200027) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6213151 + ... + 7672409.

It is an arithmetic number, because the mean of its divisors is an integer number (94384936800).

Almost surely, 2^{10131314200020} is an apocalyptic number.

10131314200020 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 10131314200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18121907865600).

10131314200020 is an abundant number, since it is smaller than the sum of its proper divisors (26112501531180).

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

10131314200020 is a wasteful number, since it uses less digits than its factorization.

10131314200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459356 (or 1459348 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10131314200020 its reverse (2000241313101), we get a palindrome (12131555513121).

The spelling of 10131314200020 in words is "ten trillion, one hundred thirty-one billion, three hundred fourteen million, two hundred thousand, twenty".