131030030100 has 144 divisors (see below), whose sum is σ = 394244766720. Its totient is φ = 33559411200.

The previous prime is 131030030099. The next prime is 131030030119. The reversal of 131030030100 is 1030030131.

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, 1622274 + ... + 1701126.

It is an arithmetic number, because the mean of its divisors is an integer number (2737810880).

Almost surely, 2^131030030100 is an apocalyptic number.

131030030100 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 131030030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197122383360).

131030030100 is an abundant number, since it is smaller than the sum of its proper divisors (263214736620).

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

131030030100 is a wasteful number, since it uses less digits than its factorization.

131030030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79090 (or 79083 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 131030030100 its reverse (1030030131), we get a palindrome (132060060231).

The spelling of 131030030100 in words is "one hundred thirty-one billion, thirty million, thirty thousand, one hundred".