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1123101312013 is a prime number
BaseRepresentation
bin10000010101111110000…
…011100000010000001101
310222100220212021000021101
4100111332003200100031
5121400102413441023
62215540130503101
7144066332432302
oct20257603402015
93870825230241
101123101312013
113a333945869a
121617b8434a91
1381ba5b4a175
143c5036090a9
151e333b241ad
hex1057e0e040d

1123101312013 has 2 divisors, whose sum is σ = 1123101312014. Its totient is φ = 1123101312012.

The previous prime is 1123101311993. The next prime is 1123101312023. The reversal of 1123101312013 is 3102131013211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1027411313769 + 95689998244 = 1013613^2 + 309338^2 .

It is an emirp because it is prime and its reverse (3102131013211) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1123101312013 is a prime.

It is a super-2 number, since 2×11231013120132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1123101312023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561550656006 + 561550656007.

It is an arithmetic number, because the mean of its divisors is an integer number (561550656007).

Almost surely, 21123101312013 is an apocalyptic number.

It is an amenable number.

1123101312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1123101312013 is an equidigital number, since it uses as much as digits as its factorization.

1123101312013 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 19.

Adding to 1123101312013 its reverse (3102131013211), we get a palindrome (4225232325224).

The spelling of 1123101312013 in words is "one trillion, one hundred twenty-three billion, one hundred one million, three hundred twelve thousand, thirteen".