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11301333132131 = 73735176983609
BaseRepresentation
bin1010010001110100101111…
…1100100110001101100011
31111000101201100002211112122
42210131023330212031203
52440130112240212011
640011432154214455
72244331366431410
oct244351374461543
944011640084478
1011301333132131
113667960a230a9
12132633572442b
1363c9324bb433
142b0db7781107
15148e90e003db
hexa474bf26363

11301333132131 has 16 divisors (see below), whose sum is σ = 12950841182400. Its totient is φ = 9660584683008.

The previous prime is 11301333132109. The next prime is 11301333132157. The reversal of 11301333132131 is 13123133310311.

It is not a de Polignac number, because 11301333132131 - 214 = 11301333115747 is a prime.

It is a super-2 number, since 2×113013331321312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11301333132131.

It is not an unprimeable number, because it can be changed into a prime (11301333132101) 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 15 ways as a sum of consecutive naturals, for example, 135127055 + ... + 135210663.

It is an arithmetic number, because the mean of its divisors is an integer number (809427573900).

Almost surely, 211301333132131 is an apocalyptic number.

11301333132131 is a deficient number, since it is larger than the sum of its proper divisors (1649508050269).

11301333132131 is an equidigital number, since it uses as much as digits as its factorization.

11301333132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135758.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 11301333132131 its reverse (13123133310311), we get a palindrome (24424466442442).

The spelling of 11301333132131 in words is "eleven trillion, three hundred one billion, three hundred thirty-three million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 7 373 2611 51769 83609 362383 585263 19309837 31186157 135168859 218303099 4328354321 30298480247 1614476161733 11301333132131