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130013100012201 = 3764125933724837
BaseRepresentation
bin11101100011111100001000…
…101001000111001010101001
3122001100010112110222212011220
4131203330020221013022221
5114020113312100342301
61140303105452412253
736246064551032040
oct3543741051071251
9561303473885156
10130013100012201
113847627858229a
12126b94b0177089
13577124b5a30b3
14241694bd1d557
151006e146a3936
hex763f08a472a9

130013100012201 has 32 divisors (see below), whose sum is σ = 198500848435968. Its totient is φ = 74148671324160.

The previous prime is 130013100012161. The next prime is 130013100012241. The reversal of 130013100012201 is 102210001310031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130013100012161) and next prime (130013100012241).

It is not a de Polignac number, because 130013100012201 - 213 = 130013100004009 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130013100012241) 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 31 ways as a sum of consecutive naturals, for example, 33041955 + ... + 36766791.

It is an arithmetic number, because the mean of its divisors is an integer number (6203151513624).

Almost surely, 2130013100012201 is an apocalyptic number.

It is an amenable number.

130013100012201 is a deficient number, since it is larger than the sum of its proper divisors (68487748423767).

130013100012201 is a wasteful number, since it uses less digits than its factorization.

130013100012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728081.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 130013100012201 its reverse (102210001310031), we get a palindrome (232223101322232).

The spelling of 130013100012201 in words is "one hundred thirty trillion, thirteen billion, one hundred million, twelve thousand, two hundred one".

Divisors: 1 3 7 21 641 1923 2593 4487 7779 13461 18151 54453 1662113 3724837 4986339 11174511 11634791 26073859 34904373 78221577 2387620517 7162861551 9658502341 16713343619 28975507023 50140030857 67609516387 202828549161 6191100000581 18573300001743 43337700004067 130013100012201