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13023130212131 = 136718127824843
BaseRepresentation
bin1011110110000010111100…
…0011001101011100100011
31201002222222100002001022212
42331200233003031130203
53201332332313242011
643410424325152335
72512614210224234
oct275405703153443
951088870061285
1013023130212131
114171095546496
121563b77b5b6ab
137360caa08780
14330473d2b08b
15178b6511808b
hexbd82f0cd723

13023130212131 has 16 divisors (see below), whose sum is σ = 14235038974464. Its totient is φ = 11841260184864.

The previous prime is 13023130212109. The next prime is 13023130212137. The reversal of 13023130212131 is 13121203132031.

It is a cyclic number.

It is not a de Polignac number, because 13023130212131 - 26 = 13023130212067 is a prime.

It is a super-2 number, since 2×130231302121312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13023130212097 and 13023130212106.

It is not an unprimeable number, because it can be changed into a prime (13023130212137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15376196 + ... + 16201038.

It is an arithmetic number, because the mean of its divisors is an integer number (889689935904).

Almost surely, 213023130212131 is an apocalyptic number.

13023130212131 is a deficient number, since it is larger than the sum of its proper divisors (1211908762333).

13023130212131 is a wasteful number, since it uses less digits than its factorization.

13023130212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843050.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13023130212131 its reverse (13121203132031), we get a palindrome (26144333344162).

The spelling of 13023130212131 in words is "thirteen trillion, twenty-three billion, one hundred thirty million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 13 67 871 18127 235651 824843 1214509 10722959 15788617 55264481 718438253 14951929061 194375077793 1001779247087 13023130212131