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13131201411306 = 2321166319199047
BaseRepresentation
bin1011111100010101100010…
…0110000111100011101010
31201111022221000002210101100
42333011120212013203222
53210120200030130211
643532220214102230
72523461261242536
oct277053046074352
951438830083340
1013131201411306
114202a02959a30
121580ab894a976
137433617298c4
143357a6caabc6
1517b88cc14156
hexbf1589878ea

13131201411306 has 24 divisors (see below), whose sum is σ = 31037385154464. Its totient is φ = 3979151942760.

The previous prime is 13131201411187. The next prime is 13131201411359. The reversal of 13131201411306 is 60311410213131.

13131201411306 is a `hidden beast` number, since 1 + 3 + 1 + 312 + 0 + 1 + 41 + 1 + 306 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13131201411306.

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 11 ways as a sum of consecutive naturals, for example, 33159599326 + ... + 33159599721.

It is an arithmetic number, because the mean of its divisors is an integer number (1293224381436).

Almost surely, 213131201411306 is an apocalyptic number.

13131201411306 is an abundant number, since it is smaller than the sum of its proper divisors (17906183743158).

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

13131201411306 is a wasteful number, since it uses less digits than its factorization.

13131201411306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66319199066 (or 66319199063 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 13131201411306 its reverse (60311410213131), we get a palindrome (73442611624437).

The spelling of 13131201411306 in words is "thirteen trillion, one hundred thirty-one billion, two hundred one million, four hundred eleven thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 66319199047 132638398094 198957597141 397915194282 596872791423 729511189517 1193745582846 1459022379034 2188533568551 4377067137102 6565600705653 13131201411306