131468658100 has 72 divisors (see below), whose sum is σ = 307337313528. Its totient is φ = 48525657600.

The previous prime is 131468658089. The next prime is 131468658103. The reversal of 131468658100 is 1856864131.

It can be written as a sum of positive squares in 12 ways, for example, as 44955024676 + 86513633424 = 212026^2 + 294132^2 .

It is a super-2 number, since 2×131468658100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131468658103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4171602 + ... + 4202998.

It is an arithmetic number, because the mean of its divisors is an integer number (4268573799).

Almost surely, 2^131468658100 is an apocalyptic number.

131468658100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131468658100 is an abundant number, since it is smaller than the sum of its proper divisors (175868655428).

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

131468658100 is a wasteful number, since it uses less digits than its factorization.

131468658100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34645 (or 34638 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 131468658100 in words is "one hundred thirty-one billion, four hundred sixty-eight million, six hundred fifty-eight thousand, one hundred".