130242641100 has 288 divisors, whose sum is σ = 447113882880. Its totient is φ = 28855680000.

The previous prime is 130242641099. The next prime is 130242641107. The reversal of 130242641100 is 1146242031.

It is not an unprimeable number, because it can be changed into a prime (130242641107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4317871 + ... + 4347929.

It is an arithmetic number, because the mean of its divisors is an integer number (1552478760).

Almost surely, 2^130242641100 is an apocalyptic number.

130242641100 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 130242641100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223556941440).

130242641100 is an abundant number, since it is smaller than the sum of its proper divisors (316871241780).

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

130242641100 is a wasteful number, since it uses less digits than its factorization.

130242641100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30201 (or 30194 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 130242641100 its reverse (1146242031), we get a palindrome (131388883131).

The spelling of 130242641100 in words is "one hundred thirty billion, two hundred forty-two million, six hundred forty-one thousand, one hundred".