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13012110311031 = 3213472366268469
BaseRepresentation
bin1011110101011001111000…
…1101100111111001110111
31201001221112100012001220200
42331112132031213321313
53201142300214423111
643401403030331543
72512044136503546
oct275263615477167
951057470161820
1013012110311031
114167450055707
121561a014b9bb3
13735062933a30
1432db0a55a15d
1517871c947256
hexbd59e367e77

13012110311031 has 24 divisors (see below), whose sum is σ = 20671721353920. Its totient is φ = 7837081166016.

The previous prime is 13012110311023. The next prime is 13012110311051. The reversal of 13012110311031 is 13011301121031.

13012110311031 is a `hidden beast` number, since 1 + 301 + 21 + 1 + 0 + 311 + 0 + 31 = 666.

It is not a de Polignac number, because 13012110311031 - 23 = 13012110311023 is a prime.

It is a super-2 number, since 2×130121103110312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13012110310995 and 13012110311013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012110311021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1183128736 + ... + 1183139733.

It is an arithmetic number, because the mean of its divisors is an integer number (861321723080).

Almost surely, 213012110311031 is an apocalyptic number.

13012110311031 is a deficient number, since it is larger than the sum of its proper divisors (7659611042889).

13012110311031 is a wasteful number, since it uses less digits than its factorization.

13012110311031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366268535 (or 2366268532 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13012110311031 its reverse (13011301121031), we get a palindrome (26023411432062).

The spelling of 13012110311031 in words is "thirteen trillion, twelve billion, one hundred ten million, three hundred eleven thousand, thirty-one".

Divisors: 1 3 9 13 39 47 117 141 423 611 1833 5499 2366268469 7098805407 21296416221 30761490097 92284470291 111214618043 276853410873 333643854129 1000931562387 1445790034559 4337370103677 13012110311031