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12133102013 is a prime number
BaseRepresentation
bin10110100110011000…
…00111000110111101
31011022120120102222122
423103030013012331
5144322033231023
65323542252325
7606445444154
oct132314070675
934276512878
1012133102013
11516690213a
1224274270a5
1311b48c8206
1483158859b
154b02b32c8
hex2d33071bd

12133102013 has 2 divisors, whose sum is σ = 12133102014. Its totient is φ = 12133102012.

The previous prime is 12133101973. The next prime is 12133102027. The reversal of 12133102013 is 31020133121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9777649924 + 2355452089 = 98882^2 + 48533^2 .

It is a cyclic number.

It is not a de Polignac number, because 12133102013 - 26 = 12133101949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12133101982 and 12133102000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12133102063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6066551006 + 6066551007.

It is an arithmetic number, because the mean of its divisors is an integer number (6066551007).

Almost surely, 212133102013 is an apocalyptic number.

It is an amenable number.

12133102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133102013 is an equidigital number, since it uses as much as digits as its factorization.

12133102013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12133102013 its reverse (31020133121), we get a palindrome (43153235134).

The spelling of 12133102013 in words is "twelve billion, one hundred thirty-three million, one hundred two thousand, thirteen".