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13013320131 = 3271491386313
BaseRepresentation
bin11000001111010011…
…11000000111000011
31020120220212011020200
430013221320013003
5203122402221011
65551144340243
7640324252560
oct140751700703
936526764220
1013013320131
115578753029
122632174683
1312c5086836
148b6435867
155126d3856
hex307a781c3

13013320131 has 24 divisors (see below), whose sum is σ = 21626498400. Its totient is φ = 7386270336.

The previous prime is 13013320127. The next prime is 13013320141. The reversal of 13013320131 is 13102331031.

It is a happy number.

13013320131 is a `hidden beast` number, since 1 + 301 + 332 + 0 + 1 + 31 = 666.

It is not a de Polignac number, because 13013320131 - 22 = 13013320127 is a prime.

It is a super-2 number, since 2×130133201312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13013320141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 683770 + ... + 702543.

It is an arithmetic number, because the mean of its divisors is an integer number (901104100).

Almost surely, 213013320131 is an apocalyptic number.

13013320131 is a deficient number, since it is larger than the sum of its proper divisors (8613178269).

13013320131 is a wasteful number, since it uses less digits than its factorization.

13013320131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386475 (or 1386472 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13013320131 its reverse (13102331031), we get a palindrome (26115651162).

The spelling of 13013320131 in words is "thirteen billion, thirteen million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 149 447 1043 1341 3129 9387 1386313 4158939 9704191 12476817 29112573 87337719 206560637 619681911 1445924459 1859045733 4337773377 13013320131