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1013144200331 is a prime number
BaseRepresentation
bin11101011111001000001…
…10011010010010001011
310120212002202112222121112
432233210012122102023
5113044404403402311
62053233152200535
7133124441416544
oct16574406322213
93525082488545
101013144200331
1136074354117a
1214442bb3914b
13747014b8683
1437071dcb4cb
151b54a69e28b
hexebe419a48b

1013144200331 has 2 divisors, whose sum is σ = 1013144200332. Its totient is φ = 1013144200330.

The previous prime is 1013144200279. The next prime is 1013144200381. The reversal of 1013144200331 is 1330024413101.

1013144200331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1013144200331 - 218 = 1013143938187 is a prime.

It is a super-2 number, since 2×10131442003312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013144200297 and 1013144200306.

It is not a weakly prime, because it can be changed into another prime (1013144200381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506572100165 + 506572100166.

It is an arithmetic number, because the mean of its divisors is an integer number (506572100166).

Almost surely, 21013144200331 is an apocalyptic number.

1013144200331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013144200331 is an equidigital number, since it uses as much as digits as its factorization.

1013144200331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1013144200331 its reverse (1330024413101), we get a palindrome (2343168613432).

The spelling of 1013144200331 in words is "one trillion, thirteen billion, one hundred forty-four million, two hundred thousand, three hundred thirty-one".