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213131210012293 is a prime number
BaseRepresentation
bin110000011101011101111010…
…000100000011011010000101
31000221122010220110220211021211
4300131131322010003122011
5210413420204230343133
62033143043132011421
762615136032642206
oct6035357204033205
91027563813824254
10213131210012293
1161a01490807331
121baa230b000b71
1391c025770a611
143a8b869acd5ad
151999072901bcd
hexc1d77a103685

213131210012293 has 2 divisors, whose sum is σ = 213131210012294. Its totient is φ = 213131210012292.

The previous prime is 213131210012269. The next prime is 213131210012321. The reversal of 213131210012293 is 392210012131312.

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., 162961513547044 + 50169696465249 = 12765638^2 + 7083057^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213131210012293 is a prime.

It is a super-2 number, since 2×2131312100122932 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213131210012213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106565605006146 + 106565605006147.

It is an arithmetic number, because the mean of its divisors is an integer number (106565605006147).

Almost surely, 2213131210012293 is an apocalyptic number.

It is an amenable number.

213131210012293 is a deficient number, since it is larger than the sum of its proper divisors (1).

213131210012293 is an equidigital number, since it uses as much as digits as its factorization.

213131210012293 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 213131210012293 in words is "two hundred thirteen trillion, one hundred thirty-one billion, two hundred ten million, twelve thousand, two hundred ninety-three".