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13101321031323 = 3717199907203323
BaseRepresentation
bin1011111010100110001110…
…0101100000111010011011
31201101110210120220012211020
42332221203211200322123
53204123001141000243
643510355213533523
72521352643223230
oct276514345407233
951343716805736
1013101321031323
1141a126a198218
121577159aa42a3
137405ac0877a5
143341706bd787
1517abde868283
hexbea63960e9b

13101321031323 has 64 divisors (see below), whose sum is σ = 21268015718400. Its totient is φ = 7002917171712.

The previous prime is 13101321031319. The next prime is 13101321031327. The reversal of 13101321031323 is 32313012310131.

It is an interprime number because it is at equal distance from previous prime (13101321031319) and next prime (13101321031327).

It is not a de Polignac number, because 13101321031323 - 22 = 13101321031319 is a prime.

It is a super-2 number, since 2×131013210313232 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13101321031293 and 13101321031302.

It is not an unprimeable number, because it can be changed into a prime (13101321031327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64334340 + ... + 64537662.

It is an arithmetic number, because the mean of its divisors is an integer number (332312745600).

Almost surely, 213101321031323 is an apocalyptic number.

13101321031323 is a deficient number, since it is larger than the sum of its proper divisors (8166694687077).

13101321031323 is a wasteful number, since it uses less digits than its factorization.

13101321031323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204456.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13101321031323 its reverse (32313012310131), we get a palindrome (45414333341454).

The spelling of 13101321031323 in words is "thirteen trillion, one hundred one billion, three hundred twenty-one million, thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 7 17 21 51 119 199 357 597 907 1393 2721 3383 4179 6349 10149 15419 19047 23681 46257 71043 107933 180493 203323 323799 541479 609969 1263451 1423261 3068381 3456491 3790353 4269783 9205143 10369473 21478667 24195437 40461277 64436001 72586311 121383831 184413961 283228939 553241883 687841709 849686817 1290897727 2063525127 3135037337 3872693181 4814891963 9405112011 14444675889 21945261359 36698378239 65835784077 110095134717 256888647673 623872430063 770665943019 1871617290189 4367107010441 13101321031323