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13202263381 is a prime number
BaseRepresentation
bin11000100101110101…
…01000110101010101
31021002002101110122211
430102322220311111
5204014234412011
610022014153421
7645110246536
oct142272506525
937062343584
1013202263381
11566537397a
1226854b2871
13132526c288
148d357a68d
155240a6b21
hex312ea8d55

13202263381 has 2 divisors, whose sum is σ = 13202263382. Its totient is φ = 13202263380.

The previous prime is 13202263363. The next prime is 13202263421. The reversal of 13202263381 is 18336220231.

13202263381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11456277156 + 1745986225 = 107034^2 + 41785^2 .

It is a cyclic number.

It is not a de Polignac number, because 13202263381 - 213 = 13202255189 is a prime.

It is a super-2 number, since 2×132022633812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13202263351) 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, 6601131690 + 6601131691.

It is an arithmetic number, because the mean of its divisors is an integer number (6601131691).

Almost surely, 213202263381 is an apocalyptic number.

It is an amenable number.

13202263381 is a deficient number, since it is larger than the sum of its proper divisors (1).

13202263381 is an equidigital number, since it uses as much as digits as its factorization.

13202263381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 13202263381 in words is "thirteen billion, two hundred two million, two hundred sixty-three thousand, three hundred eighty-one".