131313210100 has 36 divisors (see below), whose sum is σ = 285411630924. Its totient is φ = 52440129280.

The previous prime is 131313210047. The next prime is 131313210131. The reversal of 131313210100 is 1012313131.

It can be written as a sum of positive squares in 6 ways, for example, as 22860230416 + 108452979684 = 151196^2 + 329322^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1002427 + ... + 1125826.

It is an arithmetic number, because the mean of its divisors is an integer number (7928100859).

Almost surely, 2^131313210100 is an apocalyptic number.

131313210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131313210100 is an abundant number, since it is smaller than the sum of its proper divisors (154098420824).

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

131313210100 is a wasteful number, since it uses less digits than its factorization.

131313210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128884 (or 2128877 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 131313210100 its reverse (1012313131), we get a palindrome (132325523231).

The spelling of 131313210100 in words is "one hundred thirty-one billion, three hundred thirteen million, two hundred ten thousand, one hundred".