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131023101413 is a prime number
BaseRepresentation
bin111101000000110010…
…1011101110111100101
3110112012020002011220202
41322001211131313211
54121313403221123
6140105143440245
712315605662211
oct1720145356745
9415166064822
10131023101413
1150626141396
1221487456085
13c480b3c999
1464ad30b941
15361caa9a28
hex1e8195dde5

131023101413 has 2 divisors, whose sum is σ = 131023101414. Its totient is φ = 131023101412.

The previous prime is 131023101401. The next prime is 131023101481. The reversal of 131023101413 is 314101320131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78903124609 + 52119976804 = 280897^2 + 228298^2 .

It is a cyclic number.

It is not a de Polignac number, because 131023101413 - 210 = 131023100389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131023131413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65511550706 + 65511550707.

It is an arithmetic number, because the mean of its divisors is an integer number (65511550707).

Almost surely, 2131023101413 is an apocalyptic number.

It is an amenable number.

131023101413 is a deficient number, since it is larger than the sum of its proper divisors (1).

131023101413 is an equidigital number, since it uses as much as digits as its factorization.

131023101413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131023101413 its reverse (314101320131), we get a palindrome (445124421544).

The spelling of 131023101413 in words is "one hundred thirty-one billion, twenty-three million, one hundred one thousand, four hundred thirteen".