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13120002010101 = 3710129321319907
BaseRepresentation
bin1011111011101011110100…
…0011110010101111110101
31201110021000111110021010010
42332322331003302233311
53204424231003310401
643523125024050433
72522613611015220
oct276727503625765
951407014407103
1013120002010101
1141a9186108058
12157a8b2163a19
137422983c769c
143350237325b7
1517b4348d7ed6
hexbeebd0f2bf5

13120002010101 has 64 divisors (see below), whose sum is σ = 20270790199296. Its totient is φ = 7393362912000.

The previous prime is 13120002010081. The next prime is 13120002010117. The reversal of 13120002010101 is 10101020002131.

It is not a de Polignac number, because 13120002010101 - 210 = 13120002009077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120002010121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1324311390 + ... + 1324321296.

It is an arithmetic number, because the mean of its divisors is an integer number (316731096864).

Almost surely, 213120002010101 is an apocalyptic number.

It is an amenable number.

13120002010101 is a deficient number, since it is larger than the sum of its proper divisors (7150788189195).

13120002010101 is a wasteful number, since it uses less digits than its factorization.

13120002010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12442.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 13120002010101 its reverse (10101020002131), we get a palindrome (23221022012232).

The spelling of 13120002010101 in words is "thirteen trillion, one hundred twenty billion, two million, ten thousand, one hundred one".

Divisors: 1 3 7 21 101 293 303 707 879 2051 2121 2131 6153 6393 9907 14917 29593 29721 44751 69349 88779 207151 208047 215231 621453 624383 645693 1000607 1506617 1873149 2902751 3001821 4370681 4519851 7004249 8708253 13112043 20319257 21012747 21111817 60957771 63062683 63335451 147782719 189188049 293177851 441438781 443348157 879533553 1324316343 2052244957 2132293517 6156734871 6185762381 6396880551 14926054619 18557287143 43300336667 44778163857 129901010001 624762000481 1874286001443 4373334003367 13120002010101