130121311320 has 768 divisors, whose sum is σ = 581716961280. Its totient is φ = 24346828800.

The previous prime is 130121311261. The next prime is 130121311357. The reversal of 130121311320 is 23113121031.

130121311320 is a `hidden beast` number, since 1 + 30 + 1 + 2 + 1 + 311 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 130121311293 and 130121311302.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 14770357 + ... + 14779163.

It is an arithmetic number, because the mean of its divisors is an integer number (757443960).

Almost surely, 2^130121311320 is an apocalyptic number.

130121311320 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 130121311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290858480640).

130121311320 is an abundant number, since it is smaller than the sum of its proper divisors (451595649960).

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

130121311320 is a wasteful number, since it uses less digits than its factorization.

130121311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8896 (or 8889 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130121311320 its reverse (23113121031), we get a palindrome (153234432351).

The spelling of 130121311320 in words is "one hundred thirty billion, one hundred twenty-one million, three hundred eleven thousand, three hundred twenty".