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131321123131 = 1125601466321
BaseRepresentation
bin111101001001101011…
…0010101000100111011
3110112221222212020212011
41322103112111010323
54122421201420011
6140154511230351
712326155062202
oct1722326250473
9415858766764
10131321123131
1150769394530
122154b2183b7
13c4ca7c71b3
1464dab28239
153638d27621
hex1e9359513b

131321123131 has 8 divisors (see below), whose sum is σ = 143265310128. Its totient is φ = 119377920000.

The previous prime is 131321123119. The next prime is 131321123149.

131321123131 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 131321123131 - 215 = 131321090363 is a prime.

It is a super-2 number, since 2×1313211231312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131321129131) 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, 48451 + ... + 514771.

It is an arithmetic number, because the mean of its divisors is an integer number (17908163766).

Almost surely, 2131321123131 is an apocalyptic number.

131321123131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131321123131 is a deficient number, since it is larger than the sum of its proper divisors (11944186997).

131321123131 is a wasteful number, since it uses less digits than its factorization.

131321123131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491933.

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

It can be divided in two parts, 131321 and 123131, that added together give a palindrome (254452).

The spelling of 131321123131 in words is "one hundred thirty-one billion, three hundred twenty-one million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 11 25601 281611 466321 5129531 11938283921 131321123131