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13131012301134 = 23713171925373939
BaseRepresentation
bin1011111100010100110101…
…0100101110000101001110
31201111022102211020222222220
42333011031110232011032
53210114303122114014
643532145340520210
72523453503652120
oct277051524560516
951438384228886
1013131012301134
114202916134732
121580a65550066
137433314b61b0
14335789b21210
1517b87b30b6a9
hexbf14d52e14e

13131012301134 has 384 divisors, whose sum is σ = 36801875819520. Its totient is φ = 3029560455168.

The previous prime is 13131012301133. The next prime is 13131012301139. The reversal of 13131012301134 is 43110321013131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131012301133) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 177555537 + ... + 177629475.

It is an arithmetic number, because the mean of its divisors is an integer number (95838218280).

Almost surely, 213131012301134 is an apocalyptic number.

13131012301134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131012301134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400937909760).

13131012301134 is an abundant number, since it is smaller than the sum of its proper divisors (23670863518386).

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

13131012301134 is a wasteful number, since it uses less digits than its factorization.

13131012301134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74072 (or 74053 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13131012301134 its reverse (43110321013131), we get a palindrome (56241333314265).

The spelling of 13131012301134 in words is "thirteen trillion, one hundred thirty-one billion, twelve million, three hundred one thousand, one hundred thirty-four".