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13101331233221 = 7111793271290597
BaseRepresentation
bin1011111010100110010000…
…1100011011100111000101
31201101110211022002112012022
42332221210030123213011
53204123011243430341
643510400220332525
72521353126023330
oct276514414334705
951343738075168
1013101331233221
1141a1274a26040
1215771613a4145
137405b121a20a
14334171bb7617
1517abe06d0e4b
hexbea6431b9c5

13101331233221 has 32 divisors (see below), whose sum is σ = 16430457415680. Its totient is φ = 10148658465600.

The previous prime is 13101331233197. The next prime is 13101331233233. The reversal of 13101331233221 is 12233213310131.

It is a cyclic number.

It is not a de Polignac number, because 13101331233221 - 26 = 13101331233157 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101331233281) 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, 44938895 + ... + 45229491.

It is an arithmetic number, because the mean of its divisors is an integer number (513451794240).

Almost surely, 213101331233221 is an apocalyptic number.

13101331233221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13101331233221 is a deficient number, since it is larger than the sum of its proper divisors (3329126182459).

13101331233221 is a wasteful number, since it uses less digits than its factorization.

13101331233221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294065.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 13101331233221 its reverse (12233213310131), we get a palindrome (25334544543352).

The spelling of 13101331233221 in words is "thirteen trillion, one hundred one billion, three hundred thirty-one million, two hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 7 11 77 179 1253 1969 3271 13783 22897 35981 251867 290597 585509 2034179 3196567 4098563 6440599 22375969 45084193 52016863 364118041 572185493 950542787 4005298451 6653799509 10455970657 73191794599 170147158873 1191030112111 1871618747603 13101331233221