130311121013010 has 192 divisors, whose sum is σ = 396314058396672. Its totient is φ = 29087874966528.

The previous prime is 130311121013009. The next prime is 130311121013113. The reversal of 130311121013010 is 10310121113031.

130311121013010 is a `hidden beast` number, since 1 + 3 + 0 + 311 + 1 + 210 + 130 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8716764 + ... + 18346776.

It is an arithmetic number, because the mean of its divisors is an integer number (2064135720816).

Almost surely, 2^{130311121013010} is an apocalyptic number.

130311121013010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130311121013010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198157029198336).

130311121013010 is an abundant number, since it is smaller than the sum of its proper divisors (266002937383662).

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

130311121013010 is a wasteful number, since it uses less digits than its factorization.

130311121013010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9630537 (or 9630534 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 130311121013010 its reverse (10310121113031), we get a palindrome (140621242126041).

The spelling of 130311121013010 in words is "one hundred thirty trillion, three hundred eleven billion, one hundred twenty-one million, thirteen thousand, ten".