130333212123120 has 800 divisors, whose sum is σ = 465264831144960. Its totient is φ = 33804847411200.

The previous prime is 130333212123119. The next prime is 130333212123173. The reversal of 130333212123120 is 21321212333031.

130333212123120 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 3 + 321 + 21 + 2 + 312 + 0 = 666.

130333212123120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9928629997 + ... + 9928643123.

Almost surely, 2^{130333212123120} is an apocalyptic number.

130333212123120 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 130333212123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232632415572480).

130333212123120 is an abundant number, since it is smaller than the sum of its proper divisors (334931619021840).

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

130333212123120 is a wasteful number, since it uses less digits than its factorization.

130333212123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13515 (or 13500 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 130333212123120 its reverse (21321212333031), we get a palindrome (151654424456151).

The spelling of 130333212123120 in words is "one hundred thirty trillion, three hundred thirty-three billion, two hundred twelve million, one hundred twenty-three thousand, one hundred twenty".