131003102100 has 144 divisors (see below), whose sum is σ = 409246306560. Its totient is φ = 32163648000.

The previous prime is 131003102077. The next prime is 131003102143. The reversal of 131003102100 is 1201300131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1473925 + ... + 1560275.

It is an arithmetic number, because the mean of its divisors is an integer number (2841988240).

Almost surely, 2^131003102100 is an apocalyptic number.

131003102100 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 131003102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204623153280).

131003102100 is an abundant number, since it is smaller than the sum of its proper divisors (278243204460).

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

131003102100 is a wasteful number, since it uses less digits than its factorization.

131003102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86770 (or 86763 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 131003102100 its reverse (1201300131), we get a palindrome (132204402231).

The spelling of 131003102100 in words is "one hundred thirty-one billion, three million, one hundred two thousand, one hundred".