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131141201111011 = 7138333769174561
BaseRepresentation
bin11101110100010110110000…
…101101010010011111100011
3122012022222100210020100120001
4131310112300231102133203
5114142104134441023021
61142525234110200431
736423432134123260
oct3564266055223743
9565288323210501
10131141201111011
1138870742201793
1212860062ab3117
135823740205a90
1424553a7572267
15102643c1db091
hex7745b0b527e3

131141201111011 has 64 divisors (see below), whose sum is σ = 164073201417216. Its totient is φ = 102056487321600.

The previous prime is 131141201111003. The next prime is 131141201111057. The reversal of 131141201111011 is 110111102141131.

It is not a de Polignac number, because 131141201111011 - 23 = 131141201111003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131141201111011.

It is not an unprimeable number, because it can be changed into a prime (131141201111311) 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, 1758807171 + ... + 1758881731.

It is an arithmetic number, because the mean of its divisors is an integer number (2563643772144).

Almost surely, 2131141201111011 is an apocalyptic number.

131141201111011 is a deficient number, since it is larger than the sum of its proper divisors (32932000306205).

131141201111011 is a wasteful number, since it uses less digits than its factorization.

131141201111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75692.

The product of its (nonzero) digits is 24, while the sum is 19.

Adding to 131141201111011 its reverse (110111102141131), we get a palindrome (241252303252142).

The spelling of 131141201111011 in words is "one hundred thirty-one trillion, one hundred forty-one billion, two hundred one million, one hundred eleven thousand, eleven".

Divisors: 1 7 13 83 91 337 581 691 1079 2359 4381 4837 7553 8983 27971 30667 57353 62881 74561 195797 232867 363623 401471 521927 745589 969293 1630069 2545361 3027271 5219123 6188563 6785051 19327961 21190897 25127057 43319941 51521651 80451319 135295727 175889399 251263493 326651741 360651557 563159233 669781463 1758844451 2085545731 2286562187 4276297033 4688470241 14598820117 17362796387 27112094503 29934079231 55591861429 121539574709 189784661521 225716353031 389143030003 1441112100121 1580014471217 10087784700847 18734457301573 131141201111011