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13310202001093 is a prime number
BaseRepresentation
bin1100000110110000010111…
…0111001011011011000101
31202010102221212021220112221
43001230011313023123011
53221033243203013333
644150342234012341
72542426133166334
oct301540567133305
952112855256487
1013310202001093
114271909040458
1215ab7338770b1
137571ba2ac55a
1434030806dd1b
15181367805d2d
hexc1b05dcb6c5

13310202001093 has 2 divisors, whose sum is σ = 13310202001094. Its totient is φ = 13310202001092.

The previous prime is 13310202001081. The next prime is 13310202001121. The reversal of 13310202001093 is 39010020201331.

13310202001093 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., 11342460772449 + 1967741228644 = 3367857^2 + 1402762^2 .

It is a cyclic number.

It is not a de Polignac number, because 13310202001093 - 221 = 13310199903941 is a prime.

It is a super-3 number, since 3×133102020010933 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13310202001193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655101000546 + 6655101000547.

It is an arithmetic number, because the mean of its divisors is an integer number (6655101000547).

Almost surely, 213310202001093 is an apocalyptic number.

It is an amenable number.

13310202001093 is a deficient number, since it is larger than the sum of its proper divisors (1).

13310202001093 is an equidigital number, since it uses as much as digits as its factorization.

13310202001093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 13310202001093 in words is "thirteen trillion, three hundred ten billion, two hundred two million, one thousand, ninety-three".