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13121023023197 is a prime number
BaseRepresentation
bin1011111011101111100111…
…1010101001100001011101
31201110100122122200002202222
42332323321322221201131
53204433323343220242
643523414215555125
72522651116334615
oct276737172514135
951410578602688
1013121023023197
1141a965a483331
12157ab3808baa5
137423cbab114b
143350bd18da45
1517b49436a5d2
hexbeef9ea985d

13121023023197 has 2 divisors, whose sum is σ = 13121023023198. Its totient is φ = 13121023023196.

The previous prime is 13121023023193. The next prime is 13121023023233. The reversal of 13121023023197 is 79132032012131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11817238139641 + 1303784883556 = 3437621^2 + 1141834^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121023023197 - 22 = 13121023023193 is a prime.

It is a super-2 number, since 2×131210230231972 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121023023193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560511511598 + 6560511511599.

It is an arithmetic number, because the mean of its divisors is an integer number (6560511511599).

Almost surely, 213121023023197 is an apocalyptic number.

It is an amenable number.

13121023023197 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121023023197 is an equidigital number, since it uses as much as digits as its factorization.

13121023023197 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 35.

The spelling of 13121023023197 in words is "thirteen trillion, one hundred twenty-one billion, twenty-three million, twenty-three thousand, one hundred ninety-seven".