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202131001313 is a prime number
BaseRepresentation
bin1011110000111111110…
…0100100111111100001
3201022201212010202201222
42330033330210333201
511302431014020223
6232505132504425
720413665106553
oct2741774447741
9638655122658
10202131001313
11787a575400a
123321131b115
13160a39729b7
149ad711b4d3
1553d05b20c8
hex2f0ff24fe1

202131001313 has 2 divisors, whose sum is σ = 202131001314. Its totient is φ = 202131001312.

The previous prime is 202131001297. The next prime is 202131001379. The reversal of 202131001313 is 313100131202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187066630144 + 15064371169 = 432512^2 + 122737^2 .

It is a cyclic number.

It is not a de Polignac number, because 202131001313 - 24 = 202131001297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202131001291 and 202131001300.

It is not a weakly prime, because it can be changed into another prime (202131001393) 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 as a sum of consecutive naturals, namely, 101065500656 + 101065500657.

It is an arithmetic number, because the mean of its divisors is an integer number (101065500657).

Almost surely, 2202131001313 is an apocalyptic number.

It is an amenable number.

202131001313 is a deficient number, since it is larger than the sum of its proper divisors (1).

202131001313 is an equidigital number, since it uses as much as digits as its factorization.

202131001313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 202131001313 its reverse (313100131202), we get a palindrome (515231132515).

The spelling of 202131001313 in words is "two hundred two billion, one hundred thirty-one million, one thousand, three hundred thirteen".