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13131001302111 = 32711163116245729
BaseRepresentation
bin1011111100010100110010…
…1010110000110001011111
31201111022102001120012011200
42333011030222300301133
53210114242313131421
643532144305050543
72523453311322030
oct277051452606137
951438361505150
1013131001302111
11420290aa01a30
121580a61926a53
1374332c1349b4
1433578849aa87
1517b87a387726
hexbf14cab0c5f

13131001302111 has 48 divisors (see below), whose sum is σ = 23792246050560. Its totient is φ = 6779450856960.

The previous prime is 13131001302103. The next prime is 13131001302127. The reversal of 13131001302111 is 11120310013131.

13131001302111 is a `hidden beast` number, since 1 + 313 + 10 + 0 + 130 + 211 + 1 = 666.

It is not a de Polignac number, because 13131001302111 - 23 = 13131001302103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131001302511) 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, 58009906 + ... + 58235823.

It is an arithmetic number, because the mean of its divisors is an integer number (495671792720).

Almost surely, 213131001302111 is an apocalyptic number.

13131001302111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13131001302111 is a deficient number, since it is larger than the sum of its proper divisors (10661244748449).

13131001302111 is a wasteful number, since it uses less digits than its factorization.

13131001302111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116245916 (or 116245913 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13131001302111 its reverse (11120310013131), we get a palindrome (24251311315242).

The spelling of 13131001302111 in words is "thirteen trillion, one hundred thirty-one billion, one million, three hundred two thousand, one hundred eleven".

Divisors: 1 3 7 9 11 21 33 63 77 99 163 231 489 693 1141 1467 1793 3423 5379 10269 12551 16137 37653 112959 116245729 348737187 813720103 1046211561 1278703019 2441160309 3836109057 7323480927 8950921133 11508327171 18948053827 26852763399 56844161481 80558290197 132636376789 170532484443 208428592097 397909130367 625285776291 1193727391101 1459000144679 1875857328873 4377000434037 13131001302111