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13102202301331 = 1113347264045511
BaseRepresentation
bin1011111010101001100000…
…0111010010101110010011
31201101120002000011101000011
42332222120013102232103
53204131302242120311
643511022454335351
72521413534002443
oct276523007225623
951346060141004
1013102202301331
1141a1681697440
12157736505a557
137406bc823b30
14334215762123
1517ac41de5321
hexbea981d2b93

13102202301331 has 16 divisors (see below), whose sum is σ = 15437156813568. Its totient is φ = 10963169575200.

The previous prime is 13102202301323. The next prime is 13102202301337. The reversal of 13102202301331 is 13310320220131.

It is a cyclic number.

It is not a de Polignac number, because 13102202301331 - 23 = 13102202301323 is a prime.

It is a super-2 number, since 2×131022023013312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13102202301337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131973135 + ... + 132072376.

It is an arithmetic number, because the mean of its divisors is an integer number (964822300848).

Almost surely, 213102202301331 is an apocalyptic number.

13102202301331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13102202301331 is a deficient number, since it is larger than the sum of its proper divisors (2334954512237).

13102202301331 is a wasteful number, since it uses less digits than its factorization.

13102202301331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264045882.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13102202301331 its reverse (13310320220131), we get a palindrome (26412522521462).

The spelling of 13102202301331 in words is "thirteen trillion, one hundred two billion, two hundred two million, three hundred one thousand, three hundred thirty-one".

Divisors: 1 11 13 143 347 3817 4511 49621 264045511 2904500621 3432591643 37758508073 91623792317 1007861715487 1191109300121 13102202301331