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130013131 is a prime number
BaseRepresentation
bin1111011111111…
…01011111001011
3100001122100111011
413233331133023
5231240410011
620522344351
73136044013
oct757753713
9301570434
10130013131
1167430876
123765b0b7
1320c21761
14133a4c43
15b632621
hex7bfd7cb

130013131 has 2 divisors, whose sum is σ = 130013132. Its totient is φ = 130013130.

The previous prime is 130013087. The next prime is 130013171. The reversal of 130013131 is 131310031.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130013131 is a prime.

It is a super-2 number, since 2×1300131312 = 33806828464846322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (130013171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65006565 + 65006566.

It is an arithmetic number, because the mean of its divisors is an integer number (65006566).

Almost surely, 2130013131 is an apocalyptic number.

130013131 is a deficient number, since it is larger than the sum of its proper divisors (1).

130013131 is an equidigital number, since it uses as much as digits as its factorization.

130013131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 130013131 is about 11402.3300688938. The cubic root of 130013131 is about 506.5967574847.

Adding to 130013131 its reverse (131310031), we get a palindrome (261323162).

The spelling of 130013131 in words is "one hundred thirty million, thirteen thousand, one hundred thirty-one".