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13122031322213 = 1122936727973643
BaseRepresentation
bin1011111011110011011000…
…0001000000010001100101
31201110110020220221222222222
42332330312001000101211
53204442410004302323
643524102235202125
72523015111622112
oct276746601002145
951413226858888
1013122031322213
1141aa027655300
12157b1798a6345
1374252c965898
1433517705b909
1517b502b3a9c8
hexbef36040465

13122031322213 has 48 divisors (see below), whose sum is σ = 14970861507840. Its totient is φ = 11479128312960.

The previous prime is 13122031322189. The next prime is 13122031322219. The reversal of 13122031322213 is 31222313022131.

It is not a de Polignac number, because 13122031322213 - 212 = 13122031318117 is a prime.

It is a super-2 number, since 2×131220313222132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122031322219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3601983170 + ... + 3601986812.

It is an arithmetic number, because the mean of its divisors is an integer number (311892948080).

Almost surely, 213122031322213 is an apocalyptic number.

It is an amenable number.

13122031322213 is a deficient number, since it is larger than the sum of its proper divisors (1848830185627).

13122031322213 is a wasteful number, since it uses less digits than its factorization.

13122031322213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6858 (or 6847 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13122031322213 its reverse (31222313022131), we get a palindrome (44344344344344).

The spelling of 13122031322213 in words is "thirteen trillion, one hundred twenty-two billion, thirty-one million, three hundred twenty-two thousand, two hundred thirteen".

Divisors: 1 11 29 121 319 367 2797 3509 3643 4037 10643 30767 40073 44407 81113 105647 117073 338437 440803 892243 1026499 1162117 1287803 1336981 9814673 10189471 11291489 12783287 14706791 29768471 38772449 112084181 124206379 161774701 295494659 327453181 426496939 1232925991 3250441249 3601984991 3739535857 4691466329 35754853739 41134894427 108446539853 452483838697 1192911938383 13122031322213