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13132322323131 = 3116729392020939
BaseRepresentation
bin1011111100011001101101…
…1010000011101010111011
31201111102211010022000100010
42333012123122003222323
53210124444003320011
643532523335113003
72523531121653204
oct277063332035273
951442733260303
1013132322323131
114203428657640
121581170212763
137434aca1ca3b
14335871ad05ab
1517b90632b1a6
hexbf19b683abb

13132322323131 has 32 divisors (see below), whose sum is σ = 19393263590400. Its totient is φ = 7837520914080.

The previous prime is 13132322323097. The next prime is 13132322323189.

13132322323131 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-13132322323131 is a prime.

It is a super-2 number, since 2×131323223231312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13132322323031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5487660 + ... + 7508598.

It is an arithmetic number, because the mean of its divisors is an integer number (606039487200).

Almost surely, 213132322323131 is an apocalyptic number.

13132322323131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13132322323131 is a deficient number, since it is larger than the sum of its proper divisors (6260941267269).

13132322323131 is a wasteful number, since it uses less digits than its factorization.

13132322323131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023959.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 1313232 and 2323131, that added together give a palindrome (3636363).

The spelling of 13132322323131 in words is "thirteen trillion, one hundred thirty-two billion, three hundred twenty-two million, three hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 11 33 67 201 737 2211 2939 8817 32329 96987 196913 590739 2020939 2166043 6062817 6498129 22230329 66690987 135402913 406208739 1489432043 4468296129 5939539721 17818619163 65334936931 196004810793 397949161307 1193847483921 4377440774377 13132322323131