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123013133431 is a prime number
BaseRepresentation
bin111001010010000100…
…1110111010001110111
3102202111222220122111221
41302210021313101313
54003412330232211
6132302250211211
711613244244656
oct1624411672167
9382458818457
10123013133431
1148195785941
121ba10a23b07
13b7a5519766
145d4d5ab19d
1532ee790c71
hex1ca4277477

123013133431 has 2 divisors, whose sum is σ = 123013133432. Its totient is φ = 123013133430.

The previous prime is 123013133387. The next prime is 123013133437. The reversal of 123013133431 is 134331310321.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 123013133431 - 233 = 114423198839 is a prime.

It is a super-4 number, since 4×1230131334314 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 123013133396 and 123013133405.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123013133437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61506566715 + 61506566716.

It is an arithmetic number, because the mean of its divisors is an integer number (61506566716).

Almost surely, 2123013133431 is an apocalyptic number.

123013133431 is a deficient number, since it is larger than the sum of its proper divisors (1).

123013133431 is an equidigital number, since it uses as much as digits as its factorization.

123013133431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 123013133431 its reverse (134331310321), we get a palindrome (257344443752).

The spelling of 123013133431 in words is "one hundred twenty-three billion, thirteen million, one hundred thirty-three thousand, four hundred thirty-one".