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13132211223131 = 7111313119092131
BaseRepresentation
bin1011111100011001010011…
…0010001111101001011011
31201111102112101020112210022
42333012110302033221123
53210124232033120011
643532504325541055
72523525302430410
oct277062462175133
951442471215708
1013132211223131
114203380974560
12158113ab7478b
137434929c0ab0
14335861050107
1517b8eb6d28db
hexbf194c8fa5b

13132211223131 has 16 divisors (see below), whose sum is σ = 17632059825408. Its totient is φ = 9445746333600.

The previous prime is 13132211223121. The next prime is 13132211223133.

13132211223131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13132211223131 - 234 = 13115031353947 is a prime.

It is a super-2 number, since 2×131322112231312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13132211223131.

It is not an unprimeable number, because it can be changed into a prime (13132211223133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6559545065 + ... + 6559547066.

It is an arithmetic number, because the mean of its divisors is an integer number (1102003739088).

Almost surely, 213132211223131 is an apocalyptic number.

13132211223131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13132211223131 is a deficient number, since it is larger than the sum of its proper divisors (4499848602277).

13132211223131 is a wasteful number, since it uses less digits than its factorization.

13132211223131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13119092162.

The product of its digits is 1296, while the sum is 26.

It can be divided in two parts, 1313221 and 1223131, that added together give a palindrome (2536352).

The spelling of 13132211223131 in words is "thirteen trillion, one hundred thirty-two billion, two hundred eleven million, two hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 1001 13119092131 91833644917 144310013441 170548197703 1010170094087 1193837383921 1876030174733 13132211223131