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131320122011331 = 3113979397636707
BaseRepresentation
bin11101110110111101011001…
…001110010110111011000011
3122012222002012002110211022220
4131312331121032112323003
5114203022102213330311
61143143344202102123
736442365020516211
oct3566753116267303
9565862162424286
10131320122011331
113892a607404350
121288a8771aa943
1358375854067b6
14245dcdbd0dcb1
15102ae0ecdb206
hex776f59396ec3

131320122011331 has 8 divisors (see below), whose sum is σ = 191011086561984. Its totient is φ = 79587952734120.

The previous prime is 131320122011329. The next prime is 131320122011339. The reversal of 131320122011331 is 133110221023131.

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

It is not a de Polignac number, because 131320122011331 - 21 = 131320122011329 is a prime.

It is a super-4 number, since 4×1313201220113314 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is not an unprimeable number, because it can be changed into a prime (131320122011339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1989698818321 + ... + 1989698818386.

It is an arithmetic number, because the mean of its divisors is an integer number (23876385820248).

Almost surely, 2131320122011331 is an apocalyptic number.

131320122011331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131320122011331 is a deficient number, since it is larger than the sum of its proper divisors (59690964550653).

131320122011331 is a wasteful number, since it uses less digits than its factorization.

131320122011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979397636721.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 131320122011331 its reverse (133110221023131), we get a palindrome (264430343034462).

The spelling of 131320122011331 in words is "one hundred thirty-one trillion, three hundred twenty billion, one hundred twenty-two million, eleven thousand, three hundred thirty-one".

Divisors: 1 3 11 33 3979397636707 11938192910121 43773374003777 131320122011331