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13102311320131 = 116369118701531
BaseRepresentation
bin1011111010101001111010…
…0111001010101001000011
31201101120100121022002200111
42332222132213022221003
53204132013144221011
643511041351132151
72521416326436505
oct276523647125103
951346317262614
1013102311320131
1141a1728188920
121577395674057
137407092a46b7
1433422601dd75
1517ac4b77c121
hexbea9e9caa43

13102311320131 has 8 divisors (see below), whose sum is σ = 14293655713728. Its totient is φ = 11911004457000.

The previous prime is 13102311320129. The next prime is 13102311320143.

13102311320131 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 13102311320131 - 21 = 13102311320129 is a prime.

It is a super-2 number, since 2×131023113201312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13102311320101) 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, 8650165 + ... + 10051366.

It is an arithmetic number, because the mean of its divisors is an integer number (1786706964216).

Almost surely, 213102311320131 is an apocalyptic number.

13102311320131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13102311320131 is a deficient number, since it is larger than the sum of its proper divisors (1191344393597).

13102311320131 is a wasteful number, since it uses less digits than its factorization.

13102311320131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18765233.

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 1310231 and 1320131, that added together give a palindrome (2630362).

The spelling of 13102311320131 in words is "thirteen trillion, one hundred two billion, three hundred eleven million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 11 63691 700601 18701531 205716841 1191119210921 13102311320131