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131101310311 = 1737963203141
BaseRepresentation
bin111101000011000111…
…1110011110101100111
3110112101200020121100121
41322012033303311213
54121443413412221
6140121020022411
712320545515406
oct1720617636547
9415350217317
10131101310311
11506662a9944
12214a9691a07
13c4940c3a3a
1464b986963d
1536248a7a41
hex1e863f3d67

131101310311 has 8 divisors (see below), whose sum is σ = 138817491984. Its totient is φ = 123385610880.

The previous prime is 131101310299. The next prime is 131101310323. The reversal of 131101310311 is 113013101131.

It is an interprime number because it is at equal distance from previous prime (131101310299) and next prime (131101310323).

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 131101310311 - 215 = 131101277543 is a prime.

It is a super-2 number, since 2×1311013103112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101310341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543801 + ... + 746941.

It is an arithmetic number, because the mean of its divisors is an integer number (17352186498).

Almost surely, 2131101310311 is an apocalyptic number.

131101310311 is a deficient number, since it is larger than the sum of its proper divisors (7716181673).

131101310311 is a wasteful number, since it uses less digits than its factorization.

131101310311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241121.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 131101310311 its reverse (113013101131), we get a palindrome (244114411442).

The spelling of 131101310311 in words is "one hundred thirty-one billion, one hundred one million, three hundred ten thousand, three hundred eleven".

Divisors: 1 17 37963 203141 645371 3453397 7711841783 131101310311