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13123001413 is a prime number
BaseRepresentation
bin11000011100011000…
…10001110001000101
31020212120020112200101
430032030101301011
5203333442021123
610010103244101
7643125446224
oct141614216105
936776215611
1013123001413
115624657215
122662a49631
131311a09ac2
148c6c26cbb
1551c14baad
hex30e311c45

13123001413 has 2 divisors, whose sum is σ = 13123001414. Its totient is φ = 13123001412.

The previous prime is 13123001401. The next prime is 13123001447. The reversal of 13123001413 is 31410032131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11916342244 + 1206659169 = 109162^2 + 34737^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13123001413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13123001473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561500706 + 6561500707.

It is an arithmetic number, because the mean of its divisors is an integer number (6561500707).

Almost surely, 213123001413 is an apocalyptic number.

It is an amenable number.

13123001413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123001413 is an equidigital number, since it uses as much as digits as its factorization.

13123001413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13123001413 its reverse (31410032131), we get a palindrome (44533033544).

The spelling of 13123001413 in words is "thirteen billion, one hundred twenty-three million, one thousand, four hundred thirteen".