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131313101101 = 71329223223133
BaseRepresentation
bin111101001001011011…
…1101110100100101101
3110112221102202200200221
41322102313232210231
54122412123213401
6140154023251341
712326026641310
oct1722267564455
9415842680627
10131313101101
1150764905456
12215485a9b51
13c4c8c48a30
1464d9a3a977
1536382907a1
hex1e92dee92d

131313101101 has 32 divisors (see below), whose sum is σ = 167939573760. Its totient is φ = 99863172864.

The previous prime is 131313101099. The next prime is 131313101113. The reversal of 131313101101 is 101101313131.

It is not a de Polignac number, because 131313101101 - 21 = 131313101099 is a prime.

It is a super-2 number, since 2×1313131011012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313101501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476931 + ... + 700063.

It is an arithmetic number, because the mean of its divisors is an integer number (5248111680).

Almost surely, 2131313101101 is an apocalyptic number.

It is an amenable number.

131313101101 is a deficient number, since it is larger than the sum of its proper divisors (36626472659).

131313101101 is a wasteful number, since it uses less digits than its factorization.

131313101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223405.

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

Adding to 131313101101 its reverse (101101313131), we get a palindrome (232414414232).

The spelling of 131313101101 in words is "one hundred thirty-one billion, three hundred thirteen million, one hundred one thousand, one hundred one".

Divisors: 1 7 13 29 91 203 223 377 1561 2639 2899 6467 20293 45269 84071 223133 588497 1561931 2900729 6470857 20305103 45295999 49758659 84121141 348310613 588847987 646862567 1443001111 4528037969 10101007777 18759014443 131313101101