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13362133126331 = 117479191624159
BaseRepresentation
bin1100001001110001110100…
…1100101100110010111011
31202022102000000212101222202
43002130131030230302323
53222411122040020311
644230251302140415
72546245054364663
oct302343514546273
952272000771882
1013362133126331
114291937888480
1215b980742170b
1375c075160022
14342a3304b1a3
151828a69a5e3b
hexc271d32ccbb

13362133126331 has 8 divisors (see below), whose sum is σ = 14576900966400. Its totient is φ = 12147370030440.

The previous prime is 13362133126283. The next prime is 13362133126351.

13362133126331 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13362133126331 - 210 = 13362133125307 is a prime.

It is a super-2 number, since 2×133621331263312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13362133126351) 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 7 ways as a sum of consecutive naturals, for example, 7415030 + ... + 9039188.

It is an arithmetic number, because the mean of its divisors is an integer number (1822112620800).

Almost surely, 213362133126331 is an apocalyptic number.

13362133126331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13362133126331 is a deficient number, since it is larger than the sum of its proper divisors (1214767840069).

13362133126331 is a wasteful number, since it uses less digits than its factorization.

13362133126331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372089.

The product of its digits is 104976, while the sum is 38.

The spelling of 13362133126331 in words is "thirteen trillion, three hundred sixty-two billion, one hundred thirty-three million, one hundred twenty-six thousand, three hundred thirty-one".

Divisors: 1 11 747919 1624159 8227109 17865749 1214739375121 13362133126331