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13023043021131 = 3111342767709817
BaseRepresentation
bin1011110110000010100111…
…0110100110100101001011
31201002222202021000021202120
42331200221312212211023
53201332143003134011
643410411532302323
72512612101141123
oct275405166464513
951088667007676
1013023043021131
114171050303610
121563b529119a3
137360b592b270
14330466511c83
15178b5c643a06
hexbd829da694b

13023043021131 has 32 divisors (see below), whose sum is σ = 20400237462528. Its totient is φ = 7285437853440.

The previous prime is 13023043021099. The next prime is 13023043021189. The reversal of 13023043021131 is 13112034032031.

It is not a de Polignac number, because 13023043021131 - 25 = 13023043021099 is a prime.

It is a super-2 number, since 2×130230430211312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13023043021931) 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 31 ways as a sum of consecutive naturals, for example, 17992135 + ... + 18701951.

It is an arithmetic number, because the mean of its divisors is an integer number (637507420704).

Almost surely, 213023043021131 is an apocalyptic number.

13023043021131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13023043021131 is a deficient number, since it is larger than the sum of its proper divisors (7377194441397).

13023043021131 is a wasteful number, since it uses less digits than its factorization.

13023043021131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752611.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13023043021131 its reverse (13112034032031), we get a palindrome (26135077053162).

The spelling of 13023043021131 in words is "thirteen trillion, twenty-three billion, forty-three million, twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 11 13 33 39 143 429 42767 128301 470437 555971 709817 1411311 1667913 2129451 6115681 7807987 9227621 18347043 23423961 27682863 101503831 304511493 30356743639 91070230917 333924180029 394637667307 1001772540087 1183913001921 4341014340377 13023043021131