130133023200120 has 256 divisors, whose sum is σ = 413922953364480. Its totient is φ = 32660772249600.

The previous prime is 130133023200083. The next prime is 130133023200157. The reversal of 130133023200120 is 21002320331031.

It is an interprime number because it is at equal distance from previous prime (130133023200083) and next prime (130133023200157).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162515130 + ... + 163313910.

It is an arithmetic number, because the mean of its divisors is an integer number (1616886536580).

Almost surely, 2^{130133023200120} is an apocalyptic number.

130133023200120 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 130133023200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206961476682240).

130133023200120 is an abundant number, since it is smaller than the sum of its proper divisors (283789930164360).

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

130133023200120 is a wasteful number, since it uses less digits than its factorization.

130133023200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799766 (or 799762 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 130133023200120 its reverse (21002320331031), we get a palindrome (151135343531151).

The spelling of 130133023200120 in words is "one hundred thirty trillion, one hundred thirty-three billion, twenty-three million, two hundred thousand, one hundred twenty".