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131331320001 = 35789867509
BaseRepresentation
bin111101001001111110…
…1001110100011000001
3110112222201001022100000
41322103331032203001
54122431304220001
6140155513550213
712326340541530
oct1722375164301
9415881038300
10131331320001
11507741195a2
1221552715369
13c4cc95754b
1464dc220317
153639b8da86
hex1e93f4e8c1

131331320001 has 48 divisors (see below), whose sum is σ = 227357020800. Its totient is φ = 74203164288.

The previous prime is 131331319981. The next prime is 131331320083. The reversal of 131331320001 is 100023133131.

It is a happy number.

131331320001 is a `hidden beast` number, since 1 + 313 + 31 + 320 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 131331320001 - 213 = 131331311809 is a prime.

It is a super-2 number, since 2×1313313200012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131331320501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282366 + ... + 585143.

It is an arithmetic number, because the mean of its divisors is an integer number (4736604600).

Almost surely, 2131331320001 is an apocalyptic number.

It is an amenable number.

131331320001 is a deficient number, since it is larger than the sum of its proper divisors (96025700799).

131331320001 is an frugal number, since it uses more digits than its factorization.

131331320001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867620 (or 867608 counting only the distinct ones).

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

Adding to 131331320001 its reverse (100023133131), we get a palindrome (231354453132).

The spelling of 131331320001 in words is "one hundred thirty-one billion, three hundred thirty-one million, three hundred twenty thousand, one".

Divisors: 1 3 7 9 21 27 63 81 89 189 243 267 567 623 801 1701 1869 2403 5607 7209 16821 21627 50463 151389 867509 2602527 6072563 7807581 18217689 23422743 54653067 70268229 77208301 163959201 210804687 231624903 491877603 540458107 694874709 1475632809 1621374321 2084624127 4864122963 6253872381 14592368889 18761617143 43777106667 131331320001