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131311403201 = 11102111691871
BaseRepresentation
bin111101001001011000…
…1010000000011000001
3110112221022120102121202
41322102301100003001
54122411204400301
6140153523030545
712326006340206
oct1722261200301
9415838512552
10131311403201
1150763955830
1221547b0b455
13c4c87a2c64
1464d9717cad
15363805766b
hex1e92c500c1

131311403201 has 8 divisors (see below), whose sum is σ = 143389118208. Its totient is φ = 119257074000.

The previous prime is 131311403173. The next prime is 131311403263. The reversal of 131311403201 is 102304113131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131311403201 - 230 = 130237661377 is a prime.

It is a super-3 number, since 3×1313114032013 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131311403701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5834705 + ... + 5857166.

It is an arithmetic number, because the mean of its divisors is an integer number (17923639776).

Almost surely, 2131311403201 is an apocalyptic number.

131311403201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131311403201 is a deficient number, since it is larger than the sum of its proper divisors (12077715007).

131311403201 is a wasteful number, since it uses less digits than its factorization.

131311403201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11692903.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131311403201 its reverse (102304113131), we get a palindrome (233615516332).

The spelling of 131311403201 in words is "one hundred thirty-one billion, three hundred eleven million, four hundred three thousand, two hundred one".

Divisors: 1 11 1021 11231 11691871 128610581 11937400291 131311403201