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13000331777701 is a prime number
BaseRepresentation
bin1011110100101110000000…
…1010000101011010100101
31201000211010110210120201111
42331023200022011122211
53200444134413341301
643352134151425021
72511146224562332
oct275134012053245
951024113716644
1013000331777701
114162456409244
12155b674985171
13733c06631398
1432d31010b989
1517827d871551
hexbd2e02856a5

13000331777701 has 2 divisors, whose sum is σ = 13000331777702. Its totient is φ = 13000331777700.

The previous prime is 13000331777651. The next prime is 13000331777773. The reversal of 13000331777701 is 10777713300031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12449790037476 + 550541740225 = 3528426^2 + 741985^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000331777701 - 221 = 13000329680549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13000331717701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500165888850 + 6500165888851.

It is an arithmetic number, because the mean of its divisors is an integer number (6500165888851).

Almost surely, 213000331777701 is an apocalyptic number.

It is an amenable number.

13000331777701 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000331777701 is an equidigital number, since it uses as much as digits as its factorization.

13000331777701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64827, while the sum is 40.

The spelling of 13000331777701 in words is "thirteen trillion, three hundred thirty-one million, seven hundred seventy-seven thousand, seven hundred one".