130121131312100 has 144 divisors (see below), whose sum is σ = 286900870502400. Its totient is φ = 51219105477120.

The previous prime is 130121131312069. The next prime is 130121131312103. The reversal of 130121131312100 is 1213131121031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (130121131312103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1823436221 + ... + 1823507579.

Almost surely, 2^{130121131312100} is an apocalyptic number.

130121131312100 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 130121131312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143450435251200).

130121131312100 is an abundant number, since it is smaller than the sum of its proper divisors (156779739190300).

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

130121131312100 is a wasteful number, since it uses less digits than its factorization.

130121131312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72622 (or 72615 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 130121131312100 its reverse (1213131121031), we get a palindrome (131334262433131).

The spelling of 130121131312100 in words is "one hundred thirty trillion, one hundred twenty-one billion, one hundred thirty-one million, three hundred twelve thousand, one hundred".