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131431102020017 is a prime number
BaseRepresentation
bin11101111000100100110000…
…001001011111100110110001
3122020100200122110221101212222
4131320210300021133212301
5114211331344104120032
61143310340440530425
736453404142155642
oct3570446011374661
9566320573841788
10131431102020017
1138972687763498
12128a828a180a15
135844b909613a7
1424654293196c9
15102dc57e66a12
hex77893025f9b1

131431102020017 has 2 divisors, whose sum is σ = 131431102020018. Its totient is φ = 131431102020016.

The previous prime is 131431102020013. The next prime is 131431102020047. The reversal of 131431102020017 is 710020201134131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103575074169856 + 27856027850161 = 10177184^2 + 5277881^2 .

It is an emirp because it is prime and its reverse (710020201134131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131431102020017 - 22 = 131431102020013 is a prime.

It is a super-2 number, since 2×1314311020200172 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131431102020013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65715551010008 + 65715551010009.

It is an arithmetic number, because the mean of its divisors is an integer number (65715551010009).

Almost surely, 2131431102020017 is an apocalyptic number.

It is an amenable number.

131431102020017 is a deficient number, since it is larger than the sum of its proper divisors (1).

131431102020017 is an equidigital number, since it uses as much as digits as its factorization.

131431102020017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 131431102020017 its reverse (710020201134131), we get a palindrome (841451303154148).

The spelling of 131431102020017 in words is "one hundred thirty-one trillion, four hundred thirty-one billion, one hundred two million, twenty thousand, seventeen".