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13332011020131 = 3417310760722861
BaseRepresentation
bin1100001000000001100111…
…0001111110111101100011
31202012112020202210212101210
43002000121301332331203
53221412424310121011
644204350305001203
72544130442613246
oct302003161767543
952175222725353
1013332011020131
11428008a724231
1215b39bb623203
137592846b444b
143413b66d925d
15181be22ac6a6
hexc2019c7ef63

13332011020131 has 64 divisors (see below), whose sum is σ = 18663047294976. Its totient is φ = 8458185369600.

The previous prime is 13332011020129. The next prime is 13332011020199. The reversal of 13332011020131 is 13102011023331.

It is a happy number.

13332011020131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13332011020131 - 21 = 13332011020129 is a prime.

It is a super-2 number, since 2×133320110201312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13332011020098 and 13332011020107.

It is not an unprimeable number, because it can be changed into a prime (13332011020831) 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, 583165641 + ... + 583188501.

It is an arithmetic number, because the mean of its divisors is an integer number (291610113984).

Almost surely, 213332011020131 is an apocalyptic number.

13332011020131 is a deficient number, since it is larger than the sum of its proper divisors (5331036274845).

13332011020131 is a wasteful number, since it uses less digits than its factorization.

13332011020131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23692.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13332011020131 its reverse (13102011023331), we get a palindrome (26434022043462).

The spelling of 13332011020131 in words is "thirteen trillion, three hundred thirty-two billion, eleven million, twenty thousand, one hundred thirty-one".

Divisors: 1 3 41 73 107 123 219 321 607 1821 2993 4387 7811 8979 13161 22861 23433 24887 44311 64949 68583 74661 132933 194847 320251 937301 960753 1668853 1816751 2446127 2662909 2811903 4741277 5006559 5450253 7338381 7988727 13876627 14223831 41629881 68422973 100291207 178567271 194392357 205268919 300873621 535701813 568941707 583177071 1012993771 1484799089 1706825121 3038981313 4454397267 7321258111 21963774333 41532744611 60876762649 108390333497 124598233833 182630287947 325171000491 4444003673377 13332011020131