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131313322301 = 7151587211639
BaseRepresentation
bin111101001001011100…
…0100100100100111101
3110112221110011221010112
41322102320210210331
54122412202303201
6140154032115405
712326031552230
oct1722270444475
9415843157115
10131313322301
1150764a46667
1221548695b65
13c4c8cc5615
1464d9a97417
1536382d60bb
hex1e92e2493d

131313322301 has 16 divisors (see below), whose sum is σ = 151324293120. Its totient is φ = 111617881200.

The previous prime is 131313322223. The next prime is 131313322321. The reversal of 131313322301 is 103223313131.

It is not a de Polignac number, because 131313322301 - 214 = 131313305917 is a prime.

It is a super-2 number, since 2×1313133223012 (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 (131313322321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514640 + ... + 726278.

It is an arithmetic number, because the mean of its divisors is an integer number (9457768320).

Almost surely, 2131313322301 is an apocalyptic number.

It is an amenable number.

131313322301 is a deficient number, since it is larger than the sum of its proper divisors (20010970819).

131313322301 is a wasteful number, since it uses less digits than its factorization.

131313322301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212384.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 131313322301 its reverse (103223313131), we get a palindrome (234536635432).

The spelling of 131313322301 in words is "one hundred thirty-one billion, three hundred thirteen million, three hundred twenty-two thousand, three hundred one".

Divisors: 1 7 151 587 1057 4109 88637 211639 620459 1481473 31957489 124232093 223702423 869624651 18759046043 131313322301