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13132010101023 = 3211538872821607
BaseRepresentation
bin1011111100011000100011…
…0011000001100100011111
31201111102000100210111010100
42333012020303001210133
53210123324041213043
643532432343112143
72523520311060522
oct277061063014437
951442010714110
1013132010101023
114203288395540
1215810a3742653
13743460132b28
14335842458bb9
1517b8d8c05cd3
hexbf188cc191f

13132010101023 has 48 divisors (see below), whose sum is σ = 21107072503296. Its totient is φ = 7799821897920.

The previous prime is 13132010100941. The next prime is 13132010101033. The reversal of 13132010101023 is 32010101023131.

13132010101023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13132010101023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13132010100987 and 13132010101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132010101033) 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, 3243286 + ... + 6064892.

It is an arithmetic number, because the mean of its divisors is an integer number (439730677152).

Almost surely, 213132010101023 is an apocalyptic number.

13132010101023 is a deficient number, since it is larger than the sum of its proper divisors (7975062402273).

13132010101023 is a wasteful number, since it uses less digits than its factorization.

13132010101023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822564 (or 2822561 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13132010101023 its reverse (32010101023131), we get a palindrome (45142111124154).

The spelling of 13132010101023 in words is "thirteen trillion, one hundred thirty-two billion, ten million, one hundred one thousand, twenty-three".

Divisors: 1 3 9 11 33 53 99 159 477 583 887 1749 2661 5247 7983 9757 29271 47011 87813 141033 423099 517121 1551363 2821607 4654089 8464821 25394463 31037677 93113031 149545171 279339093 448635513 1345906539 1644996881 2502765409 4934990643 7508296227 14804971929 22524888681 27530419499 82591258497 132646566677 247773775491 397939700031 1193819100093 1459112233447 4377336700341 13132010101023