130303011123000 has 1024 divisors, whose sum is σ = 481337745408000. Its totient is φ = 32515499520000.

The previous prime is 130303011122989. The next prime is 130303011123001. The reversal of 130303011123000 is 321110303031.

It is a happy number.

130303011123000 is a `hidden beast` number, since 1 + 30 + 30 + 301 + 1 + 1 + 2 + 300 + 0 = 666.

It is a super-3 number, since 3×130303011123000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130303011123001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23678538249 + ... + 23678543751.

It is an arithmetic number, because the mean of its divisors is an integer number (470056392000).

Almost surely, 2^{130303011123000} is an apocalyptic number.

130303011123000 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 130303011123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240668872704000).

130303011123000 is an abundant number, since it is smaller than the sum of its proper divisors (351034734285000).

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

130303011123000 is a wasteful number, since it uses less digits than its factorization.

130303011123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6110 (or 6090 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130303011123000 its reverse (321110303031), we get a palindrome (130624121426031).

The spelling of 130303011123000 in words is "one hundred thirty trillion, three hundred three billion, eleven million, one hundred twenty-three thousand".