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1013033300131 is a prime number
BaseRepresentation
bin11101011110111010111…
…11010111000010100011
310120211211000212200010201
432233131133113002203
5113044143011101011
62053214151210031
7133121623655416
oct16573537270243
93524730780121
101013033300131
11360696985216
121443ba976917
13746b4529658
143706139db7d
151b540a94cc1
hexebdd7d70a3

1013033300131 has 2 divisors, whose sum is σ = 1013033300132. Its totient is φ = 1013033300130.

The previous prime is 1013033300021. The next prime is 1013033300203. The reversal of 1013033300131 is 1310033303101.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (1310033303101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013033300131 - 27 = 1013033300003 is a prime.

It is a super-2 number, since 2×10130333001312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013033300099 and 1013033300108.

It is not a weakly prime, because it can be changed into another prime (1013033400131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506516650065 + 506516650066.

It is an arithmetic number, because the mean of its divisors is an integer number (506516650066).

Almost surely, 21013033300131 is an apocalyptic number.

1013033300131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013033300131 is an equidigital number, since it uses as much as digits as its factorization.

1013033300131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 1013033300131 its reverse (1310033303101), we get a palindrome (2323066603232).

The spelling of 1013033300131 in words is "one trillion, thirteen billion, thirty-three million, three hundred thousand, one hundred thirty-one".