10131310244100 has 72 divisors (see below), whose sum is σ = 29394910480320. Its totient is φ = 2694157124480.

The previous prime is 10131310244093. The next prime is 10131310244113. The reversal of 10131310244100 is 144201313101.

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 23 ways as a sum of consecutive naturals, for example, 46927167 + ... + 47142566.

It is an arithmetic number, because the mean of its divisors is an integer number (408262645560).

Almost surely, 2^{10131310244100} is an apocalyptic number.

10131310244100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131310244100 is an abundant number, since it is smaller than the sum of its proper divisors (19263600236220).

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

10131310244100 is a wasteful number, since it uses less digits than its factorization.

10131310244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94070109 (or 94070102 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10131310244100 its reverse (144201313101), we get a palindrome (10275511557201).

The spelling of 10131310244100 in words is "ten trillion, one hundred thirty-one billion, three hundred ten million, two hundred forty-four thousand, one hundred".