131303322210100 has 18 divisors (see below), whose sum is σ = 284928209196134. Its totient is φ = 52521328884000.

The previous prime is 131303322210043. The next prime is 131303322210119. The reversal of 131303322210100 is 1012223303131.

It can be written as a sum of positive squares in 3 ways, for example, as 10326685082256 + 120976637127844 = 3213516^2 + 10998938^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 656516610951 + ... + 656516611150.

Almost surely, 2^{131303322210100} is an apocalyptic number.

131303322210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131303322210100 is an abundant number, since it is smaller than the sum of its proper divisors (153624886986034).

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

131303322210100 is a wasteful number, since it uses less digits than its factorization.

131303322210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313033222115 (or 1313033222108 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131303322210100 its reverse (1012223303131), we get a palindrome (132315545513231).

The spelling of 131303322210100 in words is "one hundred thirty-one trillion, three hundred three billion, three hundred twenty-two million, two hundred ten thousand, one hundred".