130105131250120 has 128 divisors (see below), whose sum is σ = 316844206489440. Its totient is φ = 47797118853120.

The previous prime is 130105131250091. The next prime is 130105131250123. The reversal of 130105131250120 is 21052131501031.

It can be written as a sum of positive squares in 16 ways, for example, as 9244263231844 + 120860868018276 = 3040438^2 + 10993674^2 .

It is a super-2 number, since 2×130105131250120² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130105131250123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98265634 + ... + 99580846.

Almost surely, 2^{130105131250120} is an apocalyptic number.

130105131250120 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 130105131250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158422103244720).

130105131250120 is an abundant number, since it is smaller than the sum of its proper divisors (186739075239320).

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

130105131250120 is a wasteful number, since it uses less digits than its factorization.

130105131250120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316195 (or 1316191 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 130105131250120 its reverse (21052131501031), we get a palindrome (151157262751151).

The spelling of 130105131250120 in words is "one hundred thirty trillion, one hundred five billion, one hundred thirty-one million, two hundred fifty thousand, one hundred twenty".