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13130440131301 = 177599110164083
BaseRepresentation
bin1011111100010010101100…
…1110000100001011100101
31201111020221221121202112121
42333010223032010023211
53210112120133200201
643532012501145541
72523433355413363
oct277045316041345
951436857552477
1013130440131301
114202652164aa9
1215809259bb2b1
1374326cab2a6c
14335733b40633
1517b845e899a1
hexbf12b3842e5

13130440131301 has 8 divisors (see below), whose sum is σ = 13903003283904. Its totient is φ = 12357897458880.

The previous prime is 13130440131209. The next prime is 13130440131307. The reversal of 13130440131301 is 10313104403131.

13130440131301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13130440131301 - 221 = 13130438034149 is a prime.

It is a super-3 number, since 3×131304401313013 (a number of 40 digits) contains 333 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 (13130440131307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3790195 + ... + 6373888.

It is an arithmetic number, because the mean of its divisors is an integer number (1737875410488).

Almost surely, 213130440131301 is an apocalyptic number.

It is an amenable number.

13130440131301 is a deficient number, since it is larger than the sum of its proper divisors (772563152603).

13130440131301 is a wasteful number, since it uses less digits than its factorization.

13130440131301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10240091.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 13130440131301 its reverse (10313104403131), we get a palindrome (23443544534432).

The spelling of 13130440131301 in words is "thirteen trillion, one hundred thirty billion, four hundred forty million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 17 75991 1291847 10164083 172789411 772378831253 13130440131301