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1013133241241 = 11377137992507
BaseRepresentation
bin11101011111000110111…
…00100110101110011001
310120212001222221012120022
432233203130212232121
5113044344102204431
62053232121240225
7133124246314052
oct16574334465631
93525058835508
101013133241241
11360738336480
12144428333075
13746cc14c3c4
1437070777729
151b54973707b
hexebe3726b99

1013133241241 has 32 divisors (see below), whose sum is σ = 1154144609280. Its totient is φ = 881175153600.

The previous prime is 1013133241177. The next prime is 1013133241243. The reversal of 1013133241241 is 1421423313101.

It is a cyclic number.

It is not a de Polignac number, because 1013133241241 - 26 = 1013133241177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1013133241241.

It is not an unprimeable number, because it can be changed into a prime (1013133241243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10905710 + ... + 10998216.

It is an arithmetic number, because the mean of its divisors is an integer number (36067019040).

Almost surely, 21013133241241 is an apocalyptic number.

1013133241241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013133241241 is a deficient number, since it is larger than the sum of its proper divisors (141011368039).

1013133241241 is a wasteful number, since it uses less digits than its factorization.

1013133241241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93005.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 1013133241241 its reverse (1421423313101), we get a palindrome (2434556554342).

The spelling of 1013133241241 in words is "one trillion, thirteen billion, one hundred thirty-three million, two hundred forty-one thousand, two hundred forty-one".

Divisors: 1 11 37 71 379 407 781 2627 4169 14023 26909 28897 92507 154253 295999 995633 1017577 3422759 6567997 10951963 35060153 37650349 72247967 243015889 385661683 1297225661 2489270863 2673174779 14269482271 27381979493 92103021931 1013133241241