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13123331331 = 31119191109583
BaseRepresentation
bin11000011100011011…
…00010010100000011
31020212120212022020120
430032031202110003
5203334033100311
610010114311323
7643131322125
oct141615422403
936776768216
1013123331331
115624862080
122662b88543
131311ac4016
148c6cb1215
1551c1b4706
hex30e362503

13123331331 has 32 divisors (see below), whose sum is σ = 20198522880. Its totient is φ = 7495408800.

The previous prime is 13123331303. The next prime is 13123331381. The reversal of 13123331331 is 13313332131.

It is not a de Polignac number, because 13123331331 - 26 = 13123331267 is a prime.

It is a super-2 number, since 2×131233313312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13123331381) 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, 64966 + ... + 174548.

It is an arithmetic number, because the mean of its divisors is an integer number (631203840).

Almost surely, 213123331331 is an apocalyptic number.

13123331331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13123331331 is a deficient number, since it is larger than the sum of its proper divisors (7075191549).

13123331331 is a wasteful number, since it uses less digits than its factorization.

13123331331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109807.

The product of its digits is 1458, while the sum is 24.

Adding to 13123331331 its reverse (13313332131), we get a palindrome (26436663462).

The spelling of 13123331331 in words is "thirteen billion, one hundred twenty-three million, three hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 11 19 33 57 191 209 573 627 2101 3629 6303 10887 39919 109583 119757 328749 1205413 2082077 3616239 6246231 20930353 22902847 62791059 68708541 230233883 397676707 690701649 1193030121 4374443777 13123331331