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113013333031 is a prime number
BaseRepresentation
bin110100101000000011…
…1101001110000100111
3101210201002112011012011
41221100013221300213
53322422403124111
6123530111535051
711110401323644
oct1512007516047
9353632464164
10113013333031
1143a24097895
1219a9bb2a487
13a87089c0c1
14568149adcb
152e16922021
hex1a501e9c27

113013333031 has 2 divisors, whose sum is σ = 113013333032. Its totient is φ = 113013333030.

The previous prime is 113013332959. The next prime is 113013333077. The reversal of 113013333031 is 130333310311.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 113013333031 - 27 = 113013332903 is a prime.

It is a super-2 number, since 2×1130133330312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113013332993 and 113013333011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113013303031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56506666515 + 56506666516.

It is an arithmetic number, because the mean of its divisors is an integer number (56506666516).

Almost surely, 2113013333031 is an apocalyptic number.

113013333031 is a deficient number, since it is larger than the sum of its proper divisors (1).

113013333031 is an equidigital number, since it uses as much as digits as its factorization.

113013333031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 113013333031 its reverse (130333310311), we get a palindrome (243346643342).

The spelling of 113013333031 in words is "one hundred thirteen billion, thirteen million, three hundred thirty-three thousand, thirty-one".