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131303112021120 = 27351323571400559
BaseRepresentation
bin11101110110101101100011…
…010110011001010010000000
3122012220110021122011210102110
4131312231203112121102000
5114202232233134133440
61143131452243015320
736441223343136054
oct3566554326312200
9565813248153373
10131303112021120
11389233787419a6
121288750a66a540
135835aa4326130
14245d166b8dc64
15102a7667de080
hex776b63599480

131303112021120 has 512 divisors, whose sum is σ = 471144696422400. Its totient is φ = 30861295534080.

The previous prime is 131303112021083. The next prime is 131303112021139. The reversal of 131303112021120 is 21120211303131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 327599401 + ... + 327999959.

It is an arithmetic number, because the mean of its divisors is an integer number (920204485200).

Almost surely, 2131303112021120 is an apocalyptic number.

131303112021120 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 131303112021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235572348211200).

131303112021120 is an abundant number, since it is smaller than the sum of its proper divisors (339841584401280).

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

131303112021120 is a wasteful number, since it uses less digits than its factorization.

131303112021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401188 (or 401176 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 131303112021120 its reverse (21120211303131), we get a palindrome (152423323324251).

The spelling of 131303112021120 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twelve million, twenty-one thousand, one hundred twenty".