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202131000013 is a prime number
BaseRepresentation
bin1011110000111111110…
…0100100101011001101
3201022201212010200221211
42330033330210223031
511302431014000023
6232505132454421
720413665103015
oct2741774445315
9638655120854
10202131000013
11787a5753038
123321131a411
13160a3972227
149ad711ac45
1553d05b1a0d
hex2f0ff24acd

202131000013 has 2 divisors, whose sum is σ = 202131000014. Its totient is φ = 202131000012.

The previous prime is 202130999989. The next prime is 202131000047. The reversal of 202131000013 is 310000131202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 148196511369 + 53934488644 = 384963^2 + 232238^2 .

It is a cyclic number.

It is not a de Polignac number, because 202131000013 - 221 = 202128902861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202130999957 and 202131000002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202131000613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101065500006 + 101065500007.

It is an arithmetic number, because the mean of its divisors is an integer number (101065500007).

Almost surely, 2202131000013 is an apocalyptic number.

It is an amenable number.

202131000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

202131000013 is an equidigital number, since it uses as much as digits as its factorization.

202131000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 202131000013 its reverse (310000131202), we get a palindrome (512131131215).

The spelling of 202131000013 in words is "two hundred two billion, one hundred thirty-one million, thirteen", and thus it is an aban number.