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13122113021 is a prime number
BaseRepresentation
bin11000011100010001…
…11000110111111101
31020212111120102000222
430032020320313331
5203333230104041
610010032231125
7643115056163
oct141610706775
936774512028
1013122113021
1156240aa806
12266269b4a5
131311788624
148c6a75233
1551c02374b
hex30e238dfd

13122113021 has 2 divisors, whose sum is σ = 13122113022. Its totient is φ = 13122113020.

The previous prime is 13122112987. The next prime is 13122113033. The reversal of 13122113021 is 12031122131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8852928100 + 4269184921 = 94090^2 + 65339^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13122113021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13122113821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561056510 + 6561056511.

It is an arithmetic number, because the mean of its divisors is an integer number (6561056511).

Almost surely, 213122113021 is an apocalyptic number.

It is an amenable number.

13122113021 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122113021 is an equidigital number, since it uses as much as digits as its factorization.

13122113021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13122113021 its reverse (12031122131), we get a palindrome (25153235152).

The spelling of 13122113021 in words is "thirteen billion, one hundred twenty-two million, one hundred thirteen thousand, twenty-one".