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13131332322220 = 22576727134714887
BaseRepresentation
bin1011111100010110000001…
…1001100000001110101100
31201111100021010102202101201
42333011200121200032230
53210120432033302340
643532241212015244
72523464441046160
oct277054031401654
951440233382351
1013131332322220
114202a6a843272
121580b34761524
137433828a3b98
143357ba426ca0
1517b89947279a
hexbf1606603ac

13131332322220 has 192 divisors, whose sum is σ = 32198281887744. Its totient is φ = 4405579580160.

The previous prime is 13131332322217. The next prime is 13131332322247. The reversal of 13131332322220 is 2222323313131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 882059617 + ... + 882074503.

It is an arithmetic number, because the mean of its divisors is an integer number (167699384832).

Almost surely, 213131332322220 is an apocalyptic number.

13131332322220 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 13131332322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16099140943872).

13131332322220 is an abundant number, since it is smaller than the sum of its proper divisors (19066949565524).

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

13131332322220 is a wasteful number, since it uses less digits than its factorization.

13131332322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15588 (or 15586 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 13131332322220 its reverse (2222323313131), we get a palindrome (15353655635351).

The spelling of 13131332322220 in words is "thirteen trillion, one hundred thirty-one billion, three hundred thirty-two million, three hundred twenty-two thousand, two hundred twenty".